01 - Bring a large pot of salted water to a rolling boil.
02 - Combine basil, garlic, pine nuts, and Parmesan in a food processor. Pulse until coarsely chopped. With motor running, slowly stream in olive oil until smooth and creamy. Season with salt, pepper, and lemon juice if desired. Set aside.
03 - Add gnocchi to boiling water and cook according to package directions, typically until they float to surface, about 2-3 minutes.
04 - Drain gnocchi in a colander, reserving a small amount of cooking water for sauce consistency.
05 - Transfer hot gnocchi to a large bowl and toss thoroughly with pesto. Add splash of reserved cooking water if sauce needs thinning. Serve immediately, garnished with extra Parmesan, fresh basil, and additional pine nuts if desired.