Bring a large pot of salted water to a boil. Cook the linguine according to the package instructions until al dente. Reserve 1/2 cup of the starchy pasta water, then drain the noodles and set aside.
While the pasta is boiling, heat the olive oil and butter in a large skillet over medium-high heat until the butter is completely melted.
Add the minced garlic and red pepper flakes to the skillet. Sauté for about 30 seconds, stirring constantly until fragrant.
Add the raw shrimp in a single layer. Season generously with salt and black pepper. Cook for 1 to 2 minutes per side, just until the shrimp turn pink and opaque.
Stir in the fresh lemon juice, lemon zest, and chopped parsley. Toss the shrimp gently to coat them evenly in the pan.
Add the drained linguine directly into the skillet with the shrimp. Toss everything together to combine.
If the dish looks a bit dry, add the reserved pasta water a tablespoon at a time, tossing until a light, glossy sauce coats the noodles.
Remove the skillet from the heat. Garnish with freshly grated parmesan cheese and additional parsley before serving warm.