I grill burgers on occasion. But my skillet burgers are famous in my family.
First, you fry up some bacon. Pour off most (not all) of the bacon fat. Then, as Mott said, season the room temp burgers before you drop them in the skillet. When the bacon fat begins to smoke your skillet is almost ready. Turn the fan on.
Put them in the hot skillet and let the outside sear. Flip them once. Go for medium to meduim rare. When you pull the burgers out, let the skillet cool just a bit, then add the remaining bacon grease and a whole chopped vidalia onion. Stir until slightly blackened.
I prefer to toast an onion roll for a bun and melt the cheese on the bun. That leaves the delicious crust on the burger at its best.