I'am a conficted felon and I love to hunt... will I be able to get a gun or bow for hunting

You are not going to get a gun. Check the following guide and see:
Gun Control laws - Information on the law about Gun Control
You may get a archery license - check your laws in Il, but bowhunting should be legal for you.

Also see this post: J_9, one of our moderators, has some excellent information posted there:
https://www.askmehelpdesk.com/crimin...ng-139700.html

My husband owns a sporting goods store, so I can tell you no, you won't get a gun for hunting. Impossible, no way.

Now, you can get a bow and hunt during bow season.