Preheat oven to 350 degrees F. Arrange half the broccoli, ham and cheese in the bottom of the pie shell. Pour in egg mixture. Top with remaining broccoli, ham and cheese. Bake 40-45 minutes, or until eggs are set. Rest quiche 10 minutes before cutting.
Note: To blanch broccoli, plunge into boiling water 2 minutes. Cool in cold water, drain well, and pat dry.