Drop snow peas into boiling water; boil for 1 minute and remove with a slotted spoon.
Place broccoli in boiling water; boil for 1 minute and drain.
Combine peas, broccoli, tomatoes, mushrooms and olives.
Cook pasta according to package directions; drain and let cool slightly.
Combine vegetables, pasta and 1 T. Parmesan cheese in a large bowl.
Combine all dressing ingredients in a jar and cover tightly. Shake vigorously until well blended. Add dressing to vegetable mixture and toss well.
Chill for several hours before serving.
Garnish with additional Parmesan cheese if desired. Yield: 10 to 12 servings.