Grilled Summer Vegetable Pizza with Basil Pesto and Feta

1 each red onion cut into big and grill-able chunks

1 each yellow squash thickly sliced, 1/2-inch, grill-able size

1 each green bell pepper cut into big chunks, grill-able size

1 each sweet red bell pepper cut into big chunks, grill-able size

2 large mushrooms, portabella or 3 to 5 medium to small sized, cut into 1/2-inch slices, grill-able size

1 each eggplant cut into thick slices, 1/2-inch, grill-able size

4 tablespoons olive oil

1 x salt and black pepper to taste

1 each 100% Whole Wheat Pizza Dough , prepared (click to view recipe)

3/4 cup pesto, prepared basil, homemade or store-bought, or more as needed

1 cup feta cheese crumbled, or any other your favorite melting cheese