Pre-heat the oven to 425 degrees. Line a heavy baking sheet with aluminum foil and set aside.
Cook the bacon according to package directions. Allow to drain on paper towels and then chop or crumble into smaller pieces.
Place the frozen pie crust on the baking sheet and use strips of aluminum foil to loosely cover the outside edges of the crust. Since the outer edges won’t be covered with filling, you do this so that they won’t brown too quickly.
Sprinkle the shredded cheese across the bottom of the pie crust and top with the bacon pieces. Place the broccoli florets in a bowl and cover with a damp paper towel. Place the bowl in the microwave and cook on high for about 90 seconds. Allow to cool for a minute or two and then spread the broccoli florets on top of the other ingredients in the pie crust.
Place the eggs, milk, salt and pepper into a mixing bowl and whisk together until beaten. Pour this mixture over the other ingredients in the pie crust.
Place the baking sheet with the quiche on it into the oven and bake for 15 minutes at 425. Remove from the oven and reduce the heat to 350 degrees. Remove the strips of aluminum foil from the edges of the pie crust and place back in the oven. Bake for another 25 minutes or until an inserted toothpick comes out clean. Allow to cool for a few minutes before slicing and serving. Cut into 8 slices and serve.