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.
03 - Add gnocchi to boiling water and cook according to package directions, typically 2–3 minutes until they float to the surface.
04 - Drain gnocchi in a colander, reserving a small amount of the cooking water.
05 - Transfer hot gnocchi to a large bowl. Add pesto and toss thoroughly to coat, adding a splash of reserved cooking water if needed for a silkier consistency.
06 - Plate immediately, garnished with extra Parmesan, fresh basil leaves, and additional pine nuts if desired.