Preheat oven to 425°. Place dough on a lightly floured surface; let rest for 10 minutes. Knead in 1/4 cup cheese, basil and oregano. Roll into a 12-in. circle; place on a greased 14-in. pizza pan. Prick with a fork. Bake for 10 minutes.
Spread pesto sauce over the crust. Sprinkle with mushrooms, mozzarella cheese and remaining Parmesan cheese. Bake until golden brown, 8-10 minutes longer.