If you are lucky, the PO recharged it with whatever freon and put a dye in there. Get/buy/borrow a black light, or the "special" AC light and goggles, and look for glowing spots on the AC parts. If you see some, fix that leak, vacuum/recharge, and go from there. You can usually see it without a light, but if it's slightly hidden you might not be able to without one.
The easiest way to check the compressor is to recharge the system to where it should be (and use a dye) and see what happens. It's not the proper way to do it at all, but it will tell you right away if the compressor is dead or not. But then you need to empty it all and start over again if you want to do it correctly.
Either way, there are some parts you need to replace when you open the system.
Basically, AC work sucks.