Why does my "Hot Engine Coolant" red warning light come on occasionally? on 2005 Chevrolet Monte Carlo

Every time I start the car the sound of liquid rushing or gurgling comes from underneath the center of the dashboard. This also occurs every time I depress the accelerator.Again,occasionally,the "Hot Engine Coolant" light comes on when the temperature gauge indicator goes all the way up to the maximum temperature.

Asked by for the 2005 Chevrolet Monte Carlo
If you hear a gurgling sound either the cooling system has air in it (due to a leak or possible head gasket sealing issue) or there is air trapped in the cooling system.I t certainly needs to be looked at as over looking this issue may result in serious and expensive engine damage.