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To bleed the cooling system
1/ undo bleed screw top up coolant 50/50 antifreeze until coolant comes out of bleed screw.
2/ put on ignition and set heater to hot, top up again until coolant comes out of bleed screw.
3/ start engine, top up until coolant comes out of bleed screw, tighten bleed screw, top up coolant to correct level.
4/ road test vehicle, to warm {fan cut in] then allow to cool and recheck level.
I don't know your exact car application but I belive it would be better to bleed it properly. You might not notice that you have air pockets within the system, but that can create cavitation which basically destroys the inside of the water pump.