Boil the pasta: Bring a large pot of salted water to a rolling boil. Cook the pasta until just shy of al dente, 1–2 minutes less than the package suggests.
Reserve 1 cup of pasta water, then drain.
Prep the shrimp: Pat the shrimp dry. Season with a big pinch of salt and black pepper. This helps them sear instead of steam.
Sear the shrimp: Heat 1 tablespoon olive oil and 1 tablespoon butter in a large skillet over medium-high.
Add shrimp in a single layer. Cook 1–2 minutes per side until pink and opaque. Transfer to a plate; tent loosely with foil.
Build the garlic base: Lower heat to medium.
Add remaining 1 tablespoon olive oil and 1 tablespoon butter. Stir in the minced garlic and red pepper flakes. Cook 30–60 seconds until fragrant—do not brown.
Create the sauce: Pour in the heavy cream.
Bring to a gentle simmer, stirring. Reduce heat to medium-low and let it thicken slightly for 2–3 minutes.
Add cheese and lemon: Stir in the Parmesan a handful at a time until melted and smooth. Add lemon zest and 1 tablespoon lemon juice.
Taste and adjust with salt and pepper.
Marry pasta and sauce: Add the drained pasta to the skillet. Toss to coat, loosening with splashes of reserved pasta water until glossy and silky. You’re aiming for a sauce that clings, not pools.
Return the shrimp: Fold the shrimp and any juices back into the pan.
Warm through for 30–60 seconds. Sprinkle with parsley and another squeeze of lemon if you like.
Serve: Plate immediately with extra Parmesan and fresh black pepper. Enjoy while hot and creamy.