In a small bowl, whisk together the garlic, vinegar, honey, olive oil, salt and pepper. Set aside.
Place the cut zucchini, squash and bell pepper on the sheet pan. Add whole cherry tomatoes. Drizzle dressing over the vegetables and toss to coat. Spread the vegetables into a single layer and cook for 10 minutes in the oven. Remove the pan from the oven, toss the vegetables with a spatula and return to the oven. Roast vegetables for an additional 10-15 minutes or until they are softened, but there's still a juiciness at the bottom of the sheet pan. When vegetables are done, remove from oven and let come to room temperature.
Transfer the vegetables to a medium bowl and add the mozzarella and basil. Toss to combine and serve at room temperature.