Cook the pasta according to package instructions, until al dente.
While the pasta cooks, heat olive oil in a large skillet over medium heat.
Add minced garlic and red pepper flakes to the skillet, sauté for about 1-2 minutes.
Stir in the broccoli florets, cooking for 4-5 minutes until tender.
Combine cooked pasta with the broccoli mixture in the skillet.
Add reserved pasta water as needed to reach desired consistency.
Season with salt and black pepper to taste.
Serve warm, garnished with grated Parmesan cheese.