Preheat grill pan (or sauté pan) to medium-high heat.

Shape beef into 4 equal patties. To make it easy to get four equal patties I cut my beef into four equal parts on the tray I buy it from, like this:

If you are really into red onion, like I am, you can chop up the red onion into little pieces and work them into the meat at this point. I am the only one in my family who likes red onion, so I opted to just top my burger with it rather than cook into the beef. Do what works for you.

Press down each patty and shape each one into a thin oval shape.

Put 1 tablespoon of the bleu cheese on half of each patty.

Fold the meat over the bleu cheese so both ends of the oval meet, seal around the edges, and reshape into a circle.

Place meat patties on the pan and cook 3-5 minutes on both sides, or until meat is no longer pink. (I cook mine a little longer than that because I like the meat to be a little crispy on the outside, but 6-10 minutes is an average cooking time for hamburger patties.) Season with salt and pepper, if desired.

While the burgers are cooking, slice up your vegetables.

I stacked my burger up with lots of veggies. The vegetables are optional, but the sauce isn't. ;) It's so good! Top each patty with 1/2 tablespoon honey teriyaki sauce and serve warm.