You should do a couple of things before rushing in and listening to the dealership. Take it to a local independent shop that you trust and get them to pull a vacuum on the system to see if it has any leaks. If it does, they should be able to put a dye in the system to see where the leak is.
If it has the proper refrigerant and the compressor still isnt kicking on then it could be other things beside a compressor. A bad high or low pressure switch would be two things.
The compressor is on the passenger side right on top of the engine, very easy to see.
Its right beside of the alternator:
The way your compressor looks may vary.