01 - Bring a large pot of salted water to a rolling boil. Add pasta and cook according to package directions until al dente. Before draining, reserve 1/2 cup of the starchy pasta water. Drain pasta thoroughly.
02 - While pasta cooks, add peas, mint leaves, pine nuts, Parmesan cheese, garlic clove, lemon zest, and lemon juice to a food processor. Pulse several times until ingredients are roughly chopped and combined.
03 - With the food processor running, slowly drizzle in the olive oil through the feed tube. Process until the pesto reaches a creamy yet slightly textured consistency. Stop to scrape down sides as needed. Season generously with salt and pepper.
04 - Transfer the hot, drained pasta to a large serving bowl. Pour the pesto over the pasta and toss thoroughly to coat. Add the reserved pasta water a tablespoon at a time as needed to achieve a light, glossy sauce that clings to the pasta.
05 - Plate the pasta immediately and garnish with additional grated Parmesan, fresh mint leaves, and a final grinding of black pepper. Serve while hot.