Bring a large pot of water to a rolling boil. Add the broccoli florets and boil for 3 minutes. Remove from the boiling water and immediately place in an ice bath to halt the cooking process. Once cooled, drain well.

In the bowl of a food processor or a high-powered blender, place the cooked broccoli, arugula, lemon juice, pine nuts, garlic and cheese. Pulse until combined. Stream in the olive oil and process until smooth. Season with salt and pepper to taste.