Place the arugula and watermelon in a large bowl. In a small bowl, whisk together the olive oil, lemon juice, salt, and pepper. Pour enough dressing on the arugula to moisten. Toss well and place on 6 salad plates.
With a very sharp knife or a vegetable peeler, shave the Parmesan into large shards and sprinkle them on the arugula and watermelon. Sprinkle with salt and serve.
2010, Barefoot Contessa How Easy is That?, All Rights Reserved