Preheat the oven to 500 F.

Brush the naan breads with 1 tablespoon of the olive oil and place on sheet pans. Sprinkle with 1/2 cup of the pecorino and the lemon zest, then drape the prosciutto over the top. Add the grapes, then sprinkle with the remaining pecorino. Bake until grapes blister, about 10 minutes. Drizzle with the remaining olive oil, cut into wedges and serve.