Depending on how thick the paint is (I'm at work and my company blocks third party pictures), you could use 80g to get all the paint off. I tried 40g on the thicker patches, but it didn't work as well as the 80g (go figure).
What will probably be under the bottom paint is a barrier coat (if they used one prior to applying the bottom paint) which you'll have to sand through as well to get down to the bare gelcoat. My boat was so old that I guess they never used a barrier coat as my bottom paint sanded right down to gelcoat, but most likely you will run into a barrier coat. SO, if you did decide to go down to gelcoat and then went back with bottom paint, you should use some kind of primer. Being that you don't plan on keeping the boat in the water, an expensive barrier coat wouldn't be necessary, just some primer and bottom paint... but, at that point, there would really be no reason to go back with bottom paint. If you are set on taking all the bottom paint off, to repaint with new bottom paint would be more work for no real purpose.
So... if thats what you want to do, you could buff out your original gelcoat after removing the layers of bottom paint and barrier coat, but my guess would be that it probably wont look like you'd want it to. Just repaint the bottom with new gelcoat when it's ready, and be done with it.
Me- I'm going back to bottom paint because I simply don't have the desire to prep my 35 yr old hull to the point that gelcoat would look good. Bottom paint goes on thick and somewhat dull, which is what my boat is- thick and somewhat dull

, this way I wont need to bother with a labor intensive prep job to have a good looking painted hull.