Cook the linguine according to the package instructions until al dente. Drain and set aside.
In a large skillet, heat the olive oil over medium heat. Add the minced garlic and sauté for about a minute until fragrant.
Add the asparagus pieces to the skillet and sauté for 3-4 minutes until they become tender-crisp. Season with salt and pepper to taste.
Stir in the sweet peas and cook for an additional 2 minutes until they are heated through.
Add the cooked linguine to the skillet and toss everything together to combine.
In a small bowl, whisk together the lemon zest, lemon juice, and grated Parmesan cheese. Pour the mixture over the linguine and toss until the pasta is evenly coated.
Finally, add the chopped basil and parsley to the skillet and gently toss to incorporate the herbs into the dish.
Taste and adjust the seasoning with salt and pepper if needed. Serve the Spring Linguine immediately, garnished with extra Parmesan cheese and fresh herbs.