In the meantime cut up broccoli and wash broccoli and boil broccoli in saucepan for 10 to 15 minutes. Drain and save the water from broccoli which is about 1 cup.

Mince garlic cloves and brown in oil. Add broccoli and stir for 3 to 4 minutes. Then add the cooked cavatelli and grated cheese to taste. Add the broccoli water, if it's too dry.