Free: Contests & Raffles.
I started hunting a few years ago. If I were you I would find some public land (preferably where it looks like not a lot of other people are also going) and just start finding animal sign (tracks, scat, trails, etc) and then get to know that area as well as you can. Maybe put some trail cams up...eventually find animals and once you have small game license and bow/rifle in hand you are set. Trapping will also get you out there and will get you learning to find animal sign fast. I started trapping and it helped me find sign. Good luck! Which critters are you most interested in hunting?