
Cook pasta according to package directions; drain.
Meanwhile, heat oil in a large skillet over medium-high heat. Add green beans, zucchini and carrots; cook until crisp-tender, about 5 minutes. Add broccoli and garlic; cook until garlic is fragrant, about 1 minute.
Stir in cheese, cream, salt, and pepper until cheese melts and sauce is smooth, 2 to 3 minutes. Add pasta; toss to coat.