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 drizzle in olive oil until smooth and creamy. Season with salt, pepper, and lemon juice if using. Set aside.
03 - Add gnocchi to boiling water and cook according to package directions, typically 2–3 minutes until they float to surface.
04 - Drain gnocchi in a colander, reserving a small amount of the cooking water for sauce adjustment.
05 - Transfer hot gnocchi to a large bowl. Add prepared pesto and toss thoroughly to coat. Add a splash of reserved cooking water if needed for a silkier consistency.
06 - Plate immediately, topping with additional grated Parmesan, fresh basil leaves, and extra pine nuts if desired.