Before going to gunsmithing schools, you should get as many gunsmithing books you can find and read up on how to fix and modify rifles as well as putting together new ones.
The NRA has some pretty good gunsmithing books and I have a book called Pistolsmithing, by George Nonte(?) that helped me to fix a lot of handgun problems. It's a bit dated, but the information is still good. Other books include "The Accurate Rifle" by Warren Page.
After you've read up on how to do gunsmithing and what hand tools to buy, get yourself some checkering tools and practice on flat pieces of wood, graduating to cheap rifles or old used stocks.
Read up on the latest techniques for bedding, lathe work, milling machine use and other basic techniques.
Then, if you're still very interested in gunsmithing work, either try to go to work for a gunsmith or go to a gunsmithing school. Working for a gunsmith has a lot of benefits, namely, real-world knowledges on todays market. Schools can be good, but you may waste a lot of time and money learning how to do things for which there is little market in todays gun world.
That's my two-cents, not that I've ever been a full-time gunsmith, but have done a lot of part-time gunsmithing, firearms repair, and accurizing. Gunsmiths in Maine don't seem to get very rich, many of the ones I've known could only afford to do it part-time.
The worst was a blacksmith/gun repairer-destroyer in Oakland who butchered his last gun many years ago. I have him to thank for getting me into gunsmithing. There was no other way I was going to get my guns to shoot the way I wanted them to, with the money available.
Picher