Preheat the oven to 400 degrees F (200 degrees C). Spread pesto evenly in the bottom of the pie crust. Sprinkle goat cheese over pesto.
In a large bowl, beat together eggs, half-and-half cream, and flour. Season with salt and pepper. Pour over goat cheese in pie crust. Arrange sun-dried tomatoes on top.
Bake in preheated oven for 30 minutes, or until done.