I am assuming you checked the fuses, either a loose connection or a bad AC re3lay (on the engine side of the firewall near the heater/AC Evaporator box) might be the first place to check.
Greg Surfas
That's what was wrong with the Climate Control on my 1978 Brougham d'Elegance.

If not, be sure to check out this Cadillac Service Roundtable Training brochure hosted in our Documents Section:
http://www.modifiedcadillac.org/documents/1970s/1977/1977%20Roundtable%20AC/