How to Make It
Preheat broiler to high with rack 6-inches from heat. Cook pasta according to package directions. Drain, reserving 1 cup cooking water.
While pasta cooks, toss together broccoli, 2 tablespoons of the oil, and 1/4 teaspoon of the salt on a rimmed baking sheet. Broil until evenly charred, about 3 minutes, stirring after 1 minute. Set aside.
Heat remaining 1 tablespoon oil in a large nonstick skillet over medium. Add shallot; cook, stirring often, until softened, about 5 minutes. Add garlic, and cook 1 minute more. Add wine, pepper, and remaining 1/2 teaspoon salt; cook, stirring constantly, until wine reduces by half. Stir in cream; bring just to a boil. Add drained pasta, broccoli, and 1/2 cup of the reserved cooking water; toss to coat, adding up to 1/2 cup remaining cooking water, if needed, to reach desired consistency. Remove from heat; stir in olives, and sprinkle each serving with Parmesan, lemon zest, and crushed red pepper.