Bring 6 cups water to a boil in a pot. Cook pasta according to directions on package.
Bring 1-2 inches of water to a boil in a small saucepan.
Chop broccoli into even pieces and place in a steamer basket, and place on top of the saucepan. Cover with lid and steam until tender, about 5-6 minutes. Alternately, cook broccoli covered in the microwave for 3-5 minutes, or until tender.
Drain cooked pasta and return to pan. Add olive oil, cooked broccoli, grated Parmesan, and salt and pepper to taste.
