"Burping" the radiator refers to getting all the air out of it. The procedure is to fill it as full as you can through the radiator cap, not the overflow bottle.
As suggested previously, you can run the engine until the thermostat opens and then add more coolant until it's full, but that step is supposedly not required on our engines. They have a "jiggle pin" (I think that's what it's called) to release air so you can fill the radiator. The last couple of gallons will go in very slowly, however.
After you have the system as full as you can get it, put the cap back on and go for a drive. You need to heat the coolant to operating temperature. This expands the coolant and forces air out past the radiator cap into the overflow bottle.
Note that if there is too much air in the radiator, the 16 psi cap will prevent it from escaping. The air will pressurize to, say, 12 psi and then when the engine cools, it will expand again to drop back to normal, atmospheric, pressure. No air will be released in that case. You need to get sufficient coolant into the system to pressurize the remaining air to greater than 16 psi.
Allow the engine to cool. This will cause the coolant to contract, and as it does so it will draw additional coolant into the radiator from the overflow bottle. If the tube on the bottle (see my previous post) still has air in it, you will need to repeat the entire process.
Do this as many times as necessary to force all the air from the system. If you are patient when filling the system the first time, you should have to do this only once.
Loren