Light one side of the grill to medium-high heat and the other side to low heat. Generously season burger patties with salt and pepper. Grill over medium-high heat for about 4 minutes. Flip, immediately top with cheese, and cook for another 4 to 5 minutes for medium rare. Let burgers rest 4 to 5 minutes before serving. While the meat cooks, grill buns over low heat until toasted, about 1 minute. Add burgers to the toasted buns and serve with lettuce, onion, ketchup, mustard, and a handful of drained pickles.