You mean the blower motor stops blowing air , the A/C compressor is still engaged ? The temp gauge shouldn't have anything to do with the blower motor .But stranger things have happened on these systems when they are controlled by a electronic module (BCM )
The instrument panel cluster (IPC) displays the engine coolant temperature as determined by the engine control module (ECM). The ECM sends the temperature data via high speed GMLAN serial data to the body control module (BCM). The BCM then sends the information via low speed GMLAN to the IPC in order to display the engine temperature.
The BCM applies voltage to the blower motor through the HVAC relay. The resistors and the blower motor are in a series circuit. The following list represents the number of resistors in series with the blower motor per particular speed request:
• Low speed--4 resistors
• Medium 1 speed--3 resistors
• Medium 2 speed--2 resistors
When the operator requests High speed, the HVAC control assembly applies ground directly to the blower motor through the high blower motor control circuit.
Do you know anything about automotive serial data communications ? GMLAN Is general motors version of C.A.N controller area network .
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Do you know anything about diagnosing automotive electronics ? Using a digital volt ohm meter ? Using wiring diagrams to pin point locations in a electrical circuit for testing ? Do you know what a factory componet location diagram is ? It takes more then looking at fuse's an relays , to see if current is flowing in a electrical circuit .
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Free wiring diagrams ! Enter vehicle info. Year , make , model and engine size ! Under system click on HVAC , under subsystem HVAC Controls . Then click the search button , then click the first blue link . This is the blower motor control diagram . Do you know how to read a wiring diagram ?