Yeah, white smoke is anti-freeze or trans-fluid, not oil.
Blue is oil.
If they used trans fluid to clean the cylinder walls (that's what I use), there could be some left over in it.
If you have a transmission with a failed vacuum modulator and it's plumbed into the intake, that can cause it.
Or, could be a head gasket.
Drain the coolant out and fire it up without the water pump belt on it. You can run it for 5 mins or so (from being room temperature) without worry of over heating. See if it still smokes.
The other thing you can do with it running is to pull off the radiator cap (NOT WHEN IT'S HOT!) and see if it's blowing bubbles in the coolant.
If it blows bubbles, or doesn't smoke without coolant in it, definitely a head gasket.