Preheat oven to 400° with pizza stone or inverted baking sheet on middle rack.
Thinly slice tomatoes, zucchini, and pepper. Mix garlic with oil and brush onto lavash. Scatter half the herbs, all the vegetables, and both cheeses over lavash.
Slide lavash onto stone and bake until cheeses are melted and crust is crisp, 5 minutes. Remove from oven and sprinkle with salt, pepper, remaining herbs, and the arugula. Cut into large squares.
*Soft Mediterranean flatbread, available at well-stocked grocery stores.