I would test the A/C compressor clutch coil first , easiest to do . If the electromagnet clutch coil is bad ,the compressor won't engage . Pull the A/C compressor clutch relay an jump pin's 30 & 87 , where the relay plug's into the fuse box . If pin 30 has B+ voltage ,pin 87 sends that B+ voltage to energize the clutch coil . These clutch coil's can go bad . You could also check the cooling fan this way , pull the cooling fan relay an take a piece of wire an jump pin's 30 & 87 .If fan is good it will run . Do you know how relay's work ?
VEHICLE RELAYS Operation Diagnosis
The PCM controls both relay's by supplying a ground to energize the relay .
Is the check engine light on ?
Do you know what a wiring diagram is ? How to use one along with a DVOM - digital volt ohm meter to test automotive electrical circuits ? Not guessing ? This is how an automotive technician would solve this problem , hooking up a scan tool an checking for code's ,using bi-direction control of scan tool to manually try to turn on coolant fan ,A/C compressor .....
Free wiring diagrams here http://www.bbbind.com/free_tsb.html
Enter vehicle info. year , make , model an engine size. Under system click on engine ,then under subsystem click on cooling fans ,check the electrical circuit's .