Season the ground beef in a bowl using salt and pepper (add or subtract to taste). Mix by hand until the seasoning is evenly incorporated.
Divide the ground beef into 4 round balls (¼ lb) and set aside. 1 lb = 4, ¼ lb portions.
Pre-heat a non-stick or cast iron pan to medium high and lightly spray with cooking oil spray.
Prep the baking paper by cutting or folding about a 6 in x 6 in square (enough to cover the smashed burger in the pan).
Set 1 beef portion into the pan. Set the prepped sheet of baking paper on the beef ball, and smash it down with a heavy spatula or burger press. Smash it to about ¼ in thick.
Remove the baking paper. Add a pinch of salt and pepper to the patty to further season. Cook until a crust has formed (roughly 90 seconds).
Flip with a spatula and add a final pinch of salt and pepper to season. Cook until a crust starts to form (roughly 60 seconds) or to your preference.
Add 1 slice of cheese on top of the patty. Add a teaspoon of water to the pan to create steam, cover the pan with a lid and cook until the cheese is just starting to melt. Remove the patty from the pan.
Repeat for each patty, reusing the same baking paper for each burger patty.