You should bring your grill up to at least 400 F to cook burgers and the temperature of the burger should be 165 F when it's fully done.
When cooking the burgers flip them over every 5 minutes until fully done and when fully done there should be no more blood or redness in the burger.
Cooking burgers on the grill at 400 F takes around 10 to 15 minutes depending on the size of the burger you're cooking.