Sounds like a wiring problem. That is the most common problem in
Chevy parts. Temperature gauge for this Chevy is plugged in to the dash circuit board , 1st pull dash out,2ND you will see 2 connectors that go from the gauge to the circuit board one is the gauge signal the other is power use a test lite to check , in one the lite will go on (that power) in the other if you touch (W) ground should register full if noting tried putting some power on this lead if nothing happens you may have a defective gauge (always check if all your connections are clean and corrosion or rust free) Hope It helps