Bring a large pot of water to a boil. Add asparagus and green beans and cook 4 minutes. Add peppers and cook 1 more minute.
Scoop out veggies with a large slotted spoon and place in a colander then rinse under cold water.
Add pasta to the already boiling water and cooking following package directions (about 9 minutes). Drain and return to pot.
While pasta is cooking, place half and half, chicken broth, salt, pepper and nutmeg in a small saucepan. Bring to a simmer over medium heat.
Heat a large nonstick skillet over medium high heat and add olive oil and garlic and cook 30 seconds. Add cooked veggies and the grape tomatoes, cook and stirring a few times for about 2 minutes. Spoon veggies into pasta pot.
Stir grated cheese into half and half mixture. Then add this to the pasta pot and gently stir in parsley until all ingredients are combined. Allow to stand 5 minutes before serving. Dish out servings and top with additional grated Parmesan cheese if desired.