Cook pasta in boiling salted water, 7 minutes. Add broccoli; cook until both pasta and broccoli are tender, about 5 minutes. Drain; rinse under cold water.
In a small bowl, combine pasta, broccoli, Parmesan, and 1/8 teaspoon each salt and pepper. Add olive oil, and toss. If desired, squeeze a lemon wedge over salad just before eating.