It's honestly the most fun you would ever have with your car. It's not dirt cheap, but it's not necessarily expensive or that hard on the car either. Not like you're actually racing and bumping into people. You set your own pace, need a wave by to pass others and have an instructor with you to help in most cases. The only real expenses most beginners incur are track fees, tires, brakes, and track day insurance (if you're smart). You can almost always find the GT500 Goodyear's in the classified section for sale cheap which make decent track days tires for a beginner/intermediate IMO. Good set of track pads, good fluid and $100 Centric rotors and you're about all set. Try it once, you'll likely be hooked.
+1
I have made 100 or so passes in different cars from modded diesels to a big block Camaro, by the 3rd turn in a Ford Fiesta ST on the track I realized road racing is a lot more fun.