Bring a large pot of salted water to a boil. Add the penne pasta and cook according to package instructions until al dente. Drain and set aside.

In the same pot, heat the olive oil over medium heat. Add the minced garlic and crushed red pepper, sauté until fragrant.

Add the broccoli pieces to the pot, stirring to coat them in the oil and garlic mixture. Cook until the broccoli is tender but still bright green.

Return the cooked pasta to the pot. Toss everything together with the grated parmesan cheese, salt, and black pepper. Serve warm.