Will turn 63 this December, and I inherited a Shopsmith from my grandfather in the 1980's and the lathe accessories lay dormant for years. The "system" included some lightweight faceplates and cheap chisels. I have used that five-in-one machine and other garage workshop tools for 30 years to build cabinets and cases, so I'm hardly a novice at woodworking, but I didn't do much turning except the occasional spindle. Couldn't sleep one night in 1998 and went to the garage to work out my frustration, and mounted up a small piece of curly maple and started making sawdust. I cut the entire thing using a skew chisel, mostly getting a finish via sandpaper.
[I should interject, that the Shopsmith is a horrible woodturning lathe. Runs too fast and doesn't have enough weight, but somehow those first few bowls turned out okay.]
Like the others, I'm essentially self-taught, but since I moved to Puget Sound where turners abound I have picked up lots of tips watching the other guys turn. The local Olympic Peninsula Woodturners here include some absolutely wonderful and talented craftsmen, and just listening to them has advanced my skillset. In my case, the biggest advances have more to do with the equipment; a better lathe with greater variable speeds (especially lower speeds, for larger irregular blanks), a sophisticated sharpening station, and refining my finishes have taken me to a point where I'm shown in several galleries. It has been a long, satisfying journey.
If my son were to catch the turning fever -- I think he will, eventually -- my advice will be purchase the best available machinery and to READ/VIEW EVERYTHING he can get his hands on. The biggest deal in chasing the learning curve, I think, is to simply try every possible technique and every type of turning, and don't be afraid to fail.