Preheat griddle on low.
Divide ground beef into 4 equally sized balls. Press each ground beef ball down into an evenly thin flat patty.
Spread about 2-3 tablespoons of Boursin cheese on two of the burger patties (if you are making two Boursin burgers). Make sure that the cheese is spread evenly and leave enough space between the edge of the cheese and the edge of the burger patty to seal the cheese inside the burger. Don't spread the Boursin cheese all the way to the edge of the ground beef patty.
Add the second beef patty on top of the cheese patty so that the two patties are stacked evenly and the cheese is in the middle. Use your hands to crimp and seal all around the burger patties to form one burger patty. Be sure to create a good seal so that the Boursin cheese doesn't leak out while cooking. Repeat for second Boursin burger.
Season the Boursin stuffed burger patties with your favorite burger seasoning.
Cook Boursin burgers on the griddle until done, flipping about 75% through the cooking time.
When the burgers are almost done cooking, add the crispy fried onions and jalapenos to the griddle to heat them up. Dab the cut side of the hamburger buns in the leftover burger grease and toast on the griddle.
When burgers are cooked and buns and onions/jalapenos are toasted, remove from the griddle.
To build the Bousin burger, spread hot pepper jelly on the bottom hamburger bun, and top with a burger patty. Add crispy fried onions and jalapenos and the top of the bun. Enjoy!