Preheat your oven to 475°F. Heat a medium nonstick pan, with olive oil, over medium-high heat. Add the mushrooms and saute until golden brown, about 8 to 10 minutes. Transfer to a plate.
Lightly flour a countertop and take one of the dough portions. Pound the dough into a disk shape. Continue to stretch the dough into a disk shape slightly wider than the cast iron pan. Prepare the cast iron by rubbing all parts with olive oil. Sprinkle a generous amount of cornmeal in the pan. Transfer the dough onto the cast iron. Repeat with the other portions.
Top each of the doughs with pizza sauce. Top each pizza with 5 to 6 slices of brie. Top mozzarella, bell pepper, tomatoes, and olives. Finally, top with a small amount of mozzarella, this will help keep all the vegetables in place when you serve it.
Brush the crust on the edge with additional olive oil. Place on a stovetop over medium-high heat. Cook until the bottom of the dough begins to turn brown, about 5 minutes.
Transfer the cast iron to the oven and cook until the cheese has melted and the crust has lightly browned, about 12 to 15 minutes.