Unplug the little plug that goes into the top of the compressor. With key in the run position, turn on the A/C switch in the dash and use a meter or a test light to check for approx 12volts at the compressor plug (this is actually a plug for the compressor clutch).
If there is power, then you probably have a bad compressor clutch (a separate part from the compressor) which would need to be replaced. If you do not have power, then you should check the electrical system-- first check the fuse, then check each switch that affects the A/C (including the switch in the dash and the high and low pressure cut-off switches in the A/C system). You can test these switches by leaving the key on and jumper each switch one at a time, then use a test light or meter to check for power at the compressor clutch-- also check any relay that is in the system (not sure if there is one). When you find the offending switch, replace it with a new one.
Note: I'm assuming that the system is, in fact, still charged properly with refrigerant. If it is not charged or if the charge is low, then the low pressure switch will prevent power from going to the compressor clutch-- this is a good thing, because it stops the compressor from burning out, and would mean that you need to fix the leak and recharge.