Preheat oven to 425°F.
Season each side of the chicken breasts with pepper, salt, paprika & ½ teaspoon of this garlic-powder. Use a sharp-knife cut a piece through the center of the chicken breasts, but not all of the way through, making a pocket for your filling.
For the filling, put the broccoli in a microwaveable dish and add about two tbsp of water. Cover with plastic wrap and microwave for a minute. Drain any excess water. To this dish add the bell pepper, cheese, mayo, remaining garlic powder and pepper and salt to taste. Mix until blended, then divide the mixture between the chicken breasts, then with a toothpick to secure if needed.
Heat a large, oven safe skillet (I prefer using a cast iron skillet), over moderate heat and add olive oil. Sear the chicken for 3-4minutes on each side. Cover skillet with foil and bake in preheated oven for 15-17minutes, or till chicken reads 165 degrees. Let rest, covered for 5minutes before serving.