Cut broccoli into florets and cook in salted boiling water for 5 minutes. Reserve the water.

Heat olive oil in a skillet, add garlic and red pepper flakes, and sauté for 1 minute.

Add cooked broccoli to the skillet, pour in 1 cup of cooking water, and simmer for 10 minutes.

Cook the pasta in the broccoli water, reserving 1 cup of the cooking water before draining.

Add pasta to the skillet with broccoli and stir in grated Parmesan. Cook for 1 more minute, adding pasta water as needed.

Serve with fresh basil and shaved Parmesan.