Bring a large pot of water to a boil for the pasta. Add 3 teaspoons of salt the water, add the pasta, and cook according to the directions on the package.
Cut the asparagus spears into bite-size pieces. Cut the zucchini into matchsticks.
Add the raw asparagus and zucchini matchsticks to the pot with the pasta after it has been boiling for about 6 minutes. Blanch the veggies in the boiling pot of pasta for 2-3 minutes.Expert Tip! Do NOT overcook the vegetables! The goal is to quickly blanch them in the same pot the pasta is boiling to save time and effort. The vegetables should be al dente...not soft or soggy. While the pasta and vegetables finish boiling, add 1 Tablespoon of olive oil to a skillet over medium-heat and toast the pine nuts until golden brown. Allow them to cool.
Put the pine nuts, basil, tarragon, parsley, lemon zest, garlic, paremsan cheese, and pepper in a food processor or blender.
Turn it on and stream in the olive oil until a thick sauce forms.
Slowly add a ladle of hot, starchy pasta water to the pesto and blend again until well combined. The consistency should be thick, creamy, and silky.
Drain the pasta and veggies and place them in a large bowl. Immediately add in the pesto.
Using tongs, toss to coat the pasta and vegetables evenly with the creamy pesto sauce. Add additional salt and pepper to taste topping with additional parmesan cheese.