Cook pasta according to package directions and drain.
Season shrimp with salt and pepper and set aside.
Heat olive oil over medium high heat. Add garlic and saute until fragrant, about 1 minute. Add shrimp and broccoli and cook approximately 4 minutes, or until shrimp are pink and broccoli is crisp-tender.
Remove from heat and add lemon juice and stir to combine. Serve over cooked pasta.