Generally there is a low pressure switch on the accumulator and a high pressure switch by the compressor. The low pressure switch is what controls what we think of "cycling". The high pressure switch is more of a cut out switch if pressures get too high.
Both switches can be thought of normally closed, wired in series. With a complete circuit, the PCM can power with A/C clutch. If either switch opens, the PCM cuts power to the A/C clutch.
Low pressure switch generally opens around 25 psi and closes again around 35 psi. High pressure opens pretty high maybe 490 psi? I don't have the specs for 96.