1. Place a foil lined baking sheet in the middle of the oven and preheat to 375F.
2. Drain broccoli in a colander and pat very dry.
3. Mince and mash garlic to a paste with a pinch of salt.
4. Whisk together garlic paste, eggs, milk, nutmeg, and 1/4 teaspoon salt.
5. Pour filling into pie shell and add broccoli, then sprinkle with cheese. Bake until custard is just set, 45 to 50 minutes. Cool.