The Virtual Lathe is a great way to learn about Lathe operation without losing a finger.
The Simpler Virtual Lathe allows exploration of all the levers and button functionality, and you can actually make something to show your friends, at a very reasonable price. When you get to a real lathe, you'll be a step ahead of your classmates.
For the full Lathe Experience with instructional videos and additional functionality, try the Virtual Lathe.