In a food processor, chop the garlic. Add 1/2 cup basil, the pecans, 1/2 cup olive oil, the parmesan, vinegar, salt and pepper and puree into pesto.
Preheat the oven to 400°. Roll out the pizza dough on a floured surface into a 14-inch square. Cut into 8 squares and prick each one several times with a fork. Place on a lightly floured baking sheet and brush with olive oil. Bake until golden, 12 minutes. Let cool.
Spread 1 teaspoon of the pesto on each square and top with overlapping tomato and peach slices. Slice the remaining 1/2 cup basil into thin strips and sprinkle on the pizza. Season with salt.