Slice your paczki and set aside.
Divide your ground beef and form it into 2 quarter pound patties.
Pre-heat a medium pan over medium high heat for 5 minutes. Add your beef patties to the pan, they should be sizzling when you add them in.
Cook for 5 minutes and then flip.
Once you have flipped the burgers, cook for another 4 or 5 minutes.
When there's less than 2 minutes left on the cook time, add your slices of cheese and cover the pan if you are able. If you do not have a cover that perfectly fits the pan, you can cover it with a sheet pan. Covering allows the cheese to melt.
Once the burger is fully cooked and the cheese is melted, add your burgers to your paczki and serve.
Notes:
You can use jam/preserve filled doughnuts if you're unable to find paczki where you live.