Bring a large pot of salted water to a boil and cook the linguine according to package directions until al dente.
While the pasta cooks, peel and devein the shrimp, then pat them completely dry with a paper towel.
In a large skillet over medium heat, add the olive oil and butter until the butter is melted and bubbling.
Add the minced garlic and red pepper flakes to the skillet, sautéing for 1 minute until fragrant but not browned.
Increase the heat to medium-high and add the shrimp in a single layer, seasoning with sea salt and black pepper.
Cook the shrimp for 2 minutes per side until they turn pink and opaque.
Drain the pasta, reserving 2 tablespoons of the cooking water, and add the pasta directly into the skillet with the shrimp.
Add the lemon juice, chopped parsley, and reserved pasta water, tossing everything together for 1 minute to coat the noodles in the sauce.
Serve immediately in a shallow bowl.