Cook the Pasta and Broccoli

1. Boil Water: Bring a large pot of salted water to a boil.
2. Cook Pasta: Add the pasta to the boiling water and cook according to package instructions until al dente.
3. Add Broccoli: In the last 2-3 minutes of cooking, add the broccoli florets to the pot with the pasta.
4. Drain: Reserve 1 cup of pasta cooking water, then drain the pasta and broccoli in a colander.

Prepare the Creamy Sauce

1. Sauté Garlic: In the same pot, heat the olive oil (or butter) over medium heat. Add the minced garlic and sauté for about 1 minute, until fragrant.
2. Add Cream: Pour in the heavy cream and bring to a gentle simmer, stirring occasionally.
3. Mix in Cheese: Stir in the grated Parmesan cheese until melted and combined, creating a creamy sauce. If the sauce is too thick, add reserved pasta cooking water a little at a time until desired consistency is reached.

Combine Pasta and Sauce

1. Combine Ingredients: Add the drained pasta and broccoli back into the pot with the sauce. Toss gently to combine, ensuring the pasta is well-coated.
2. Season: Taste and season with salt, pepper, and red pepper flakes if desired.

Serve

1. Plate and Garnish: Serve hot, garnished with additional Parmesan cheese and a sprinkle of red pepper flakes if desired.