Cook the pasta in salted water according to package directions until al dente. Reserve 1/2 cup of the cooking water before draining.
Steam or blanch broccoli florets until just tender but still bright green.
In a large skillet, heat olive oil over medium heat. Add garlic and sauté until fragrant.
Add broccoli and cooked pasta to the skillet, tossing to coat. If it feels dry, splash in some reserved pasta water.
Season with salt, pepper, and lemon juice. Sprinkle Parmesan on top if you like.
Serve warm with extra lemon zest.