Under Georgia's first offender act, you are not considered a convicted felon in the same sense as someone who did not complete the first offender probation and was sentenced under the first offender act.
I don't make the laws under which we are all required to live.
The feds have no tolerance for felons owning any modern day firearm.
It is on a federally issued form that one must swear he/she has no disability from purchasing, owning, possessing a firearm.
The feds have your fingerprints, mugshot, and record of your conviction.
The only legal way for any felon to ever purchase a firearm legally is to be free of any disability that would prevent him/her from purchasing the weapon.
A felony conviction isn't the ONLY disqualifier under the law.
I'm a nobody, just some dude posting on the 'net.
You are free to be as froggy as you desire, step right up, complete the form, pay your money, and take your chances.
I know of several people that bought firearms and escaped detection.
I also know of several people who initially escaped detection to buy the firearm, but were arrested after the fact in possession of the firearm.
As some say, "You pays your money and takes your chances."
Good luck in whatever you decide to do, after all, it is your life you're living.