There isn't a single "operating temperature" for a 2002 Chevy S10 with A/C. The engine's coolant temperature should operate within a specific range, typically between 195-220°F (90-104°C). This is monitored by the gauge on your dashboard. If the engine is overheating (going beyond this range), that's a problem requiring attention.
The A/C system itself doesn't have a specific operating temperature, but the refrigerant will operate at pressures and temperatures designed to cool the cabin. Problems with the A/C system would manifest as poor cooling or lack of cooling, not a specific temperature reading.
