If there isn't any pressure in the system, the compressor won't engage.
Did you replace the low switch or did someone do it for you?
If it was you, did you hear any hissing or did any refrigerant come out when you removed the switch?
IF it did empty, did you at least recharge the system with refrigerant - evacuation and charge is best but most people don't have the evacuation system.
IF nothing came out, you probably have a leak, on that year the condenser in front of the radiator is a common place - look for a wet oily stain on it and all of the AC lines. Could be the evaporator but it's inside and not easily seen.
Quick check to tell if there's any refrigerant in the system, is to remove the high pressure port cap and do a quick push on the schrader valve - if it's empty nothing will come out, IF it has any refrigerant in it - it will come out when you push down on the valve, so use a small screwdriver and just a very quick push and release.
IF it's empty, you can try to charge it (you can buy the stuff in the auto parts) and see if you have a leak or if it will hold the charge. You might get lucky.