2001 Chevy Monte Carlo a/c inop when temp sensor broke

Client called to say a/c would not work and temp guafe died at same time. I checked and the temp sensor was broken (probably when the engine was replace with used unit). Doesn't the computer control the A/C relay? I am getting the temp switch to repair the temp guage and turn off the check engine light but I don't know if this will help with the a/c or not. The relay has power on 2 poles and ground on only one but the 4th pole has neuther ground nor voltage.