My advice is find a local woodturner and ask for a lesson or 2, most will jump at the chance to help a new woodturner. The Woodcraft stores even have lessons available. Using a lathe is not rocket science but having someone show you the basics will shorten the learning curve, especially the sharpening of the chisels.
The lathe is only part of the cost, when you add up safety equipment, chucks, mandrels, jigs, saws and a number of other items the total cost will easily exceed a $1000, and soon exceed $2000. It is better to know what you need than be out there buying because you think you need something, best way to have an idea of what you need is to know how to use the tools you need to buy them.
Marvin