Cook penne pasta according to package instructions.

Reserve 1 cup of pasta water and drain the rest.

While the pasta is cooking, heat olive oil in a large skillet over medium heat.

Add minced garlic and anchovy fillets, and stir until the anchovies dissolve.

Add broccoli florets to the skillet and sauté for about 5-7 minutes, until tender.

Add the reserved pasta water to the skillet and bring to a simmer.

Add cooked penne pasta to the skillet and stir to combine with the broccoli and anchovy sauce.

Season with salt and pepper to taste.

Serve hot with grated Parmesan cheese.