Cook pasta as directed on package, adding broccoli to the cooking water for the last 2 minutes; drain.
Toss chicken pieces, tomatoes, pepper, cheese, olives and dressing together in a large bowl.
Add pasta and broccoli, toss lightly.
Sprinkle with Parmesan cheese and serve.
Notes
You can make this recipe up ahead of time, and pull it out when you need it, no heating up required. It is also a great recipe to bring on a picnic with the family!