An AR-15 as a practice/range/target gun is fine. But a lot of people consider .223 as a marginal hunting round at best for deer. Many states even ban you from using it on deer. It can get the job done, but there is a lot less tolerance for mistakes or sub-optimal shots (resulting in wounded animals and extended tracking to find them). The AR platform is also relatively expensive unless you require the large-capacity semi-auto features, a manual action will be cheaper.
Given your situation (learning to shoot and wants to hunt), if I were you, I would seriously consider these two options:
1) one multipurpose gun - a .243 or .30-30 or other intermediate caliber rifle.
-pros: only one gun to buy
-cons: a little harder to shoot, more expensive to practice
2) two guns - .22lr rimfire & .30-06 (or whatever suites you) for range and hunting, respectively.
-pros: easier to learn, much cheaper practice, more options
-cons: a little more expensive
Both of which can easily be done within your price range. There is not a "standard" way to do any of this. But there are methods that almost always result in spending larger amounts of time, effort, and/or money to get to the same place.
Given your situation (learning to shoot and wants to hunt), if I were you, I would seriously consider these two options:
1) one multipurpose gun - a .243 or .30-30 or other intermediate caliber rifle.
-pros: only one gun to buy
-cons: a little harder to shoot, more expensive to practice
2) two guns - .22lr rimfire & .30-06 (or whatever suites you) for range and hunting, respectively.
-pros: easier to learn, much cheaper practice, more options
-cons: a little more expensive
Both of which can easily be done within your price range. There is not a "standard" way to do any of this. But there are methods that almost always result in spending larger amounts of time, effort, and/or money to get to the same place.