Having taught the hunter safety course for several years it is more than just a gun safety thing. Things covered in there are:

Calibers and distances a gun a can shoot
Identifying game and their tracks
Cleaning an animal
Game conservation and where the dollars come from
Water safety
How to hunt safely with a buddy or two
Obtaining permission from land owners
Survival skills
Ethical hunters
Primitive weapons hunting

This is only some of the content. It really is a good place to start getting your feet wet.

There is also a Bow hunters education.