They let me buy a gun, and had to check my back ground before I got it so can I get a permit to carry it?

This isn't the exact legal definition, but it has links to it. Georgia Gun Laws in Plain English on GeorgiaPacking.org. It has a layman's version of the law that makes it easier to understand. I think, that it depends on the type of misdemeanors that you have, in whether you can get a gun. Try that site. If you want more information, Google "Georgia gun laws."