This is a matter of correct use of the terms. When standing on the ground, you do not feel an acceleration, you feel a normal force that is counter-acting your weight.
When you are falling, then you are feeling the gravitational force, which is your mass times g.
We never feel accelerations, we feel forces.
I’d like correct definitions be employed as much as possible.
But please forgive...I am just extra pedantic and precise about these things.
Lets go in parts. Some lights over the issue?
First, gravity is not a force, acceleration is, it takes energy from nothing. Yes, I know, but wait.
Gravity is a sliding condition of any mass towards a deformation of space. The deformation can be caused by different reasons, one very well know is the presence of any mass in space, it deforms space towards its center of mass, larger the mass, larger the deformation.
What do you mean by "normal force" counteracting your weight? Is there any counterpart abnormal force?
And no, without any acceleration you will not whatsoever feel any "force" or pressure against your body.
And no, when you slide in the space deformation, that you say "falling", and I assume you are saying falling from an airplane for example, you never feel any force or any acceleration, in true, when you free fall is exactly when the sliding counter balance any other possible holding or suspension, and you feel absolutely nothing. Ask any skydiver about what they feel when falling, nothing, just the air flowing against their bodies, nothing less, the body (mass) is in pure free form of freedom, all organs accommodate inside the body, without compressing each other, all the limbs relax, even your blood flow becomes easier and you feel euphoric since your brain receives better blood flow and oxygenation. I have several friends skydivers, the sensation they present is that they are completely stopped and the ground rushes towards them, no other way around. They say that when the parachute opens, it is like a strong force just push you up in a tremendous jolt and speed.
There is also a new definition about kinetic energy applied to a mass in space. What always make scientists accept with reluctance, is the definition that a vector force of movement can only be deformed by another vector force (kinetic vector). Accepting is one thing, understand the basics principles is another thing. In a large void of space, a steady mass (almost impossible to exist) has space deformation all around it, balanced by itself to the center of such mass. This deformation makes the mass itself to try to slide towards its center, and it compresses itself to do it. This is basically the accretion process that converts nebulas into stars, planets, etc, and what makes piles of rubble and dust in enough size to become a ball in space. But that mass is a piece of rock, can not compress itself anymore, so it is there, steady, doing nothing, with a space deformation balanced around. Then came a smaller rock in high speed and bounces this original rock. Kinetic energy is transferred to the original rock, it deform the steady vectors inside and it protrudes with some amplitude to the impacting vector direction, creating a momentum in the center of mass that changes from the center. This movement also pushes the space deformation along, and now it is not balanced anymore, there is a sliding deformation towards the resulting kinetic vector, but as the original mass was completely stopped and balanced, the deformation will be towards the same direction of movement of the impacting small rock. This unbalanced deformation will allow the original rock to slide into that less dense space, the original rock moves. When it moves, its internal vector moves along, and it becomes an infinite cycle, rock slides, vector moves, space deformation moves, rock slides, forever. This will continue for eternity, until another kinetic vector interferes or another mass space deformation adds sliding conditions to this rock, so it can change path. This new theory may explain things we never really understood, and may explain why everything in the universe is in motion. It also explains how photons with no mass, can change direction under sliding conditions, what we were calling "momentum" for many years. It is exactly the "momentum" that is a little bit off-center and creates this effect. The amount of sliding force in a regular mass is proportional to the mass, the speed it moves is proportional to how much off-center the "momentum" is set. Photons travel at speed of light because their no-mass condition allows very little energy to create a large off-center momentum, when compared to its infinite small own space deformation in its wave interior, it moves at fantastic speed, and that is constant, in a regular space you can not speed up or break up photons. You can change the time it takes to travel a certain distance if changing the space medium, like traveling in glass, water or gas, for example. But the photon speed is the same, it just takes more time to bounce around and reach its destination. The side of the wave that first find a denser medium will increase the time for travel, what for us, appears as a change in angle of insertion towards that side and angle. It is incredible how we humans could find formulas to predict exactly this very complicated energy wave distortion, not knowing how exactly it happens, we think we know what a photon is.
So, your "gravity acceleration" is a little more complicated, we are changing the way we see it, trying to find better explanations for everything else, and actually a sliding condition based on space density changes is promising better understanding, without altering what Einstein predicted.
The best way for humans to understanding it, is as the space is a gel, denser water, our bodies change the density of such gel very close to our skin, and small particles tend to slide towards our skin and stick to it. When we move inside this water or gel, we are moving very little this space deformation ahead of us, like a force field, and we can easily slide into this less dense gel. Also, because the center of momentum or deformation is more pronounced to the direction of our movement, our back has less deformation and the gel on the back compress and pushes us forward, what make us move in that direction forever, if no other vector could interfere and change such condition.
Our brain is slowly trying to understand what it can not, so we simplify things to make our life easier.
At the top I wrote "takes energy from nothing".
Think about two big, huge rocks in void space, steady state, no moving at all, one thousand light year from another. Both has its own space deformation balanced to their centers, no moving. But there is an itchy condition between them, very far away and very little. The space deformation of one is interfering with the sliding situation of the other, this micron off-center movement of the deformation, causes they to start to slide one to another very slowly, microns per thousand years. This sliding situation transport the space deformation along, what increases the sliding speed between them. After a billion years, perhaps, they will pack a kinetic energy (momentum) almost impossible to describe, and at some point they will colide one to another. The packed energy would be so large, the mass compression will be unimaginable, they would fuse their atoms one to another, even creating different heavy elements, radiation in wide spectrum to shine a galaxy, and something else. But they were only rock, big yes, but nothing else, the energy released could even be larger than mc². They were picking speed and packing energy along the way, but from where? The answer is: From nothing.