Marinade: Toss together: Shrimp, garlic, salt and pepper, 4 tablespoons olive oil and marinate the shrimp for 3 hours in the refrigerator. After marinating, remove the garlic pieces. Add 3 tablespoons butter.
In a large saucepan, add broccoli and bring to a boil. Drain and return to saucepan; cover.
Note: Do not overcook. Broccoli will continue to cook after removed from heat. It should be a bright green color - emerald green, not olive green. Olive green indicates the broccoli has overcooked.
Heat 2 tablespoons olive oil and butter. Add shrimp and sauté, tossing often.
Cook pasta. Drain and toss everything together. Serve.