Using a vegetable peeler, shave the zucchini into long thin strips. Thinly slice the asparagus on a diagonal. Toss the slices together and place the salad in a serving bowl.
In a small bowl, combine the olive oil, lemon juice, salt, and pepper. Stir to combine and drizzle over the vegetables. Toss to coat. Garnish with the Pecorino shavings. Serve.