Cook the fettuccine pasta according to package instructions.
In a large skillet, melt the butter over medium heat.
Add minced garlic and sauté until fragrant, about 1 minute.
Pour in the heavy cream and bring to a gentle simmer.
Stir in the grated Parmesan cheese until melted and smooth.
Season with salt and black pepper to taste, and adjust the consistency with reserved pasta water if needed.
Add the shrimp to the sauce and cook for 2-3 minutes until pink and opaque.
Fold in the broccoli florets and warm through.
Combine the cooked fettuccine with the shrimp and broccoli Alfredo sauce.
Serve immediately, garnished with chopped parsley.