Cook the bacon in a skillet over medium heat for about 10 minutes until crisp, then chop the bacon into pieces and reserve for later. Add the chopped broccoli to the pan and season with a pinch of salt and pepper. Saute for 5-10 minutes until the broccoli is tender but not mushy.
Evenly spread the cooked broccoli and bacon in your blind baked tart crust, and top it with the grated cheese.
Make the custard by whisking together the milk, heavy cream, eggs, 1/2 tsp salt, 1/8 tsp black pepper, and the nutmeg. Pour the custard into the tart shell, and bake the tart for 25-30 minutes. The tart is ready when you can no longer see liquid but the center of the tart jiggles slightly when moved. Cut the tart into pieces and serve!
Notes
Blind-baking means cooking the dough before adding the other ingredients, and it prevents the pie crust from becoming soggy. If you're new to blind-baking, here's a great tutorial from The Kitchn.