Bring a large pot of lightly salted water to a boil. Add asparagus, and cook for 2 minutes. Add peas, and cook for 2 more minutes. Transfer to a large bowl; set aside. Add pasta to boiling water, and cook for 8 to 10 minutes or until al dente; drain.
Place pasta in the bowl with asparagus and peas. Toss with olive oil, Parmesan, salt and pepper.