Personally, I would recommend a .22 as a first handgun. It is cheap to shoot and one can learn the fundamentals of trigger and sight control easier with something that doesn't dissuade learning due to recoil and noise.
Practice, practice, practice and eventually you can learn to shoot a handgun with great accuracy. Then if you feel the need, sell or trade it for something bigger. A .22 is very cheap to shoot and you'll probably end up keeping it whenever you upgrade. I have everything in .22 from a Beretta .22 short Minx to an Olypmic style Walther GSP Expert. Many other styles in the mix. I would say my favorites though are a pair of S&W Model 63's. Extremely accurate revolvers that are stainless steel and with their 4" barrels, super nice to carry in the woods.
I have used a .22 for a great many pests, vermin, and even deer with a well placed shot from a .22 handgun.
I handgun hunted for many years and have several big bore handguns also (including a 10" barreled T/C Contender in .444 Marlin) and while they are good enough to hunt most anything on the face of the earth, they can get heavy to carry. Having said this, if I could only keep one handgun, it would probably be one of the .44 Magnums since I reload and can down load rounds to have little to no recoil or load up for bear.
A .22 would be my second choice.
I'm thinking, it would be hard to only have one.
