How to Make It
Bring a medium saucepan of water to a boil over high. Add pasta and cook 8 minutes. Add sugar snap peas; cook until pasta is tender and peas are tender-crisp, about 1 minute. Drain and let cool completely, about 15 minutes.
Process parsley, basil, oil, Parmesan, pine nuts, lemon juice, garlic, salt, and pepper in a food processor until mostly smooth, about 30 seconds.
Combine pasta, snap peas, tomatoes, mozzarella, and pesto in a large bowl; toss to coat.