Peel and devein the shrimp, leaving the tails on if desired. Slice the sausage into bite-sized pieces and chop the broccoli into small florets.
Cook the Sausage:
Heat 1 tablespoon of olive oil in a large skillet over medium heat. Add the sliced sausage and cook until browned and crispy, about 5-7 minutes. Remove the sausage from the skillet and set aside.
Add the shrimp to the skillet, seasoning with salt and pepper. Cook for 2-3 minutes on each side until pink and opaque. Remove the shrimp from the skillet.
Return the cooked sausage, broccoli, and shrimp to the skillet. Pour the garlic butter sauce over the mixture and toss to combine, ensuring everything is evenly coated.
Serve:
Serve immediately, garnished with fresh parsley and a squeeze of lemon if desired.