Boil Pasta: In a large pot of boiling salted water, cook penne pasta according to package's instructions, until al dente.
Prepare Broccoli: Meanwhile, cut your broccoli into florets, wash and set aside.
Mix Ingredients: Drain the pasta and return to pot. Add the pesto sauce, broccoli florets and stir to combine.
Bake: Transfer the pasta mixture into a baking dish, drizzle with olive oil. Preheat the oven to 180°C and bake for about 20 minutes or until the top is golden and crispy.
Serve: Let the dish cool for a few minutes. Serve the Mediterranean Baked Pesto Penne with Broccoli warm.