Dry the zucchini on paper towels after julienning or grating.
Heat a large sauté pan over high heat until hot. Add 1 tablespoon of olive oil and heat until hot but not smoking. Add the zucchini and sauté quickly, about 1 minute. You want the zucchini to be warmed through but still a little crunchy. Add the lemon pesto and heat for about another 15 or 20 seconds just to warm it through. Garnish with additional lemon zest and/or grated Parmesan cheese if desired.
Lemon Pesto
In a small food processor or blender, add all the pesto ingredients and process until well combined.
Notes
Note: you can add grated Parmesan cheese to this pesto is you like, which is really nice when using it for gluten-free pasta. Just work in about 3 tablespoons at the end after all the other ingredients are combined.