Sausage & Broccoli Burrata Pasta

Ingredients: 8 ounces pasta (such as penne, rigatoni, or your favorite shape) 2 tablespoons olive oil 1 pound Italian sausage, casings removed 3 cloves garlic, minced 1/2 teaspoon red pepper flakes (optional, for a bit of heat) 1 bunch broccoli, cut into small florets 1/2 cup chicken broth Salt and freshly ground black pepper to taste 1 cup grated Parmesan cheese 1 ball of burrata cheese, torn into pieces