I agree with Mel. I just replaced the water pump on my 1995 Grand Am and refilled with coolant and after just a few moments of running it started to get REAL hot. Discovered that there is a bleeder on the intake manifold on the passenger side of the engine with a line that, I believe, goes to the thermostat housing. After I had removed the bleeder a giant whoosh of air and coolant mist came out. Be very careful not to burn yourself or anyone else. After a top off, all is well. I dont know if this is the same on your 2003 as it is on my 95, but worth checking into. The little Chiltons manual I have doesnt mention this bleeder port in the section of coolant refilling, but I believe this is a common thing on G.M. products. My 94 Corvette has bleeder ports on it, and although they are not the same exact thing, thier purpose is.
Good luck,
Cessnaguy