Preheat the oven to 375°F. Roll out a sheet of pie crust and place it in a pie dish. Prick the crust with a fork. In a large bowl, whisk together eggs, milk, salt, and pepper. Add blanched asparagus spears, diced ham, and grated Gruyere cheese. Pour the mixture into the pie crust. Bake for 35-40 minutes, until the quiche is set and golden brown. Let cool for a few minutes before slicing and serving.