Prepare the pasta according to the package directions. Drain and return to the pot.
Meanwhile, in a large nonstick skillet, warm 1 tablespoon of the oil over medium heat. Add the garlic or garlic powder and cook for 30 seconds. Add the shrimp. Cook, stirring, for 4 to 5 minutes, or until the shrimp turn opaque. Add to the drained pasta.
Add the broccoli and the remaining 1 teaspoon of oil to the skillet. Cook, stirring often, for 3 minutes, or until just tender. Add to the pasta and toss to mix. Sprinkle with the basil (if using).