Intake temps shouldn't effect the coolant temp (which is what the gauge shows). Was the car warm before you started it (had you been driving earlier today?) if so then it's normal for a car to warm up that quick. I can leave mine for and hour and when i start it up it's pretty much at operating temp.
But.. check to see there's coolant in your radiator, leaks around the water pump etc.
Also as long as the needle doesn't stray too far ABOVE the middle then you've got absolutely nothing to worry about.