Preheat grill or grill pan over moderate to high heat. Assemble cut veggies on a platter and as you place them on the grill, brush each side with a little oil. Season vegetables with salt and pepper. Cook until vegetables are just tender, 3 to 5 minutes on each side, depending on the vegetable. Arrange grilled vegetables on a platter and garnish with a generous sprinkle of chopped fresh thyme.