So my issue started with noise in my motor and I figured that out. But had to replace the intake gasket. I didn't realize I couldn't reuse the gasket. Anyhow I know now and ordered another gasket and installed it. Problem was antifreeze got into my oil already. I changed the oil and filter and plan on changing it again. After I let it run for awhile. Will that take care of all the white smoke and moisture in the motor? Or do I need to do anything else?

 

Chances are the white smoke is from antifreeze getting into the exhaust system and will take a while to burn it all out.

 

Residual moisture in the oil will boil off once the engine reaches operating temperature. There's condensation that gets in the oil regularly just from normal operation. So long as the oil doesn't look like a milkshake, don't worry about it. I've had this happen before with no ill effects.