Cook fettuccine in large saucepan to desired doneness as directed on package. (Spinach fettuccine may cook in less time; add to plain fettuccine according to times on package.) Add broccoli during last 3 to 4 minutes of cooking time. Drain in colander.
In same saucepan, heat sauce as directed on jar. Add fettuccine and broccoli; mix well. Stir in ham, roasted peppers and olives. Sprinkle with cheese.