For this I would recommend obtaining a
as it makes filling with coolant super easy with no mess and it is cheap and reusable for many makes and models. When you are filling yes bubbles coming up are normal. however at some point the bubbles should stop. General rule of thumb is to attach the funnel with the car off. Fill it till the bubbles stop coming up then fill the funnel half way. Start the car and let it idle until the rad fans come on. Meanwhile keeping the funnel full.
Now if non stop bubbles keep coming up then you might have a problem. Start with a good fill though to eliminate problems. If the pump and thermostat are new, that really only leaves rad cap, plugged rad, or a few other small things.
Are your fans coming on while it over heats?