Set a steamer basket in a large saucepan. Add the broccoli and steam over high heat until bright green and just tender, about 4 minutes.
In a large skillet, combine the olive oil with the garlic, crushed red pepper and lemon zest and cook over moderate heat until fragrant, about 1 minute. Add the broccoli, season with salt and cook for 1 minute, stirring. Transfer to a bowl, garnish with cheese shavings and serve.