Preheat your oven to 375°F (190°C).
Wash the broccoli thoroughly and chop it into small florets.
Blanch the broccoli in boiling water for about 2-3 minutes until bright green and slightly tender. Drain and set aside.
If using store-bought pastry dough, roll it out and fit it into your 9-inch pie dish. Prick the bottom with a fork.
In a mixing bowl, whisk together the eggs, heavy whipping cream, ground nutmeg, salt, and pepper. Stir in the blanched broccoli and crumbled goat cheese.
Pour the broccoli and cheese mixture into the prepared pastry crust, spreading it out evenly.
Bake the quiche in the preheated oven for 30-35 minutes, or until the filling is set and the top is lightly golden.
Allow the quiche to cool for about 10 minutes before slicing.