Add the thawed shrimp to a medium size bowl along with the lemon zest, salt, and black pepper. Drizzle the shrimp with the olive oil and stir to blend. Set aside.
Cook the Pasta
Bring a large pot of salted water to a boil.
Add the gluten-free pasta and cook according to the package instructions until al dente.
Drain the pasta, reserving 1 cup of the pasta water, and set it aside.
Cook The Shrimp
In a large skillet, heat the olive oil over medium-high heat.
Add the shrimp and cook the shrimp until they are pink and opaque, about 2-3 minutes per side. Remove from heat.
Combine The Pasta, Pesto, and Shrimp
In the same skillet you cooked the shrimp in, add the cooked pasta and shrimp.
Add the pesto sauce to the pasta and toss to combine. If the sauce is too thick, add a bit of the reserved pasta water to reach the desired consistency