Heat the oven to 350 degrees. Lightly coat a shallow 2-quart baking dish with olive oil or cooking spray.
Arrange 4 slices of bread over the bottom of the baking dish, tearing to fit. Top with half the tomato slices. Sprinkle the garlic over the tomatoes, then sprinkle with half the chives. Season with salt and pepper. Crumble the goat cheese or feta over the chives and drizzle with half of the oil. Top with remaining bread slices, pressing firmly to fit. Arrange remaining tomato slices on top, then sprinkle with the remaining chives, the parmesan cheese, and additional pepper to taste. Drizzle with remaining 1 1/2 teaspoons oil. Bake for 40-45 minutes or until the cheese on top is golden and the tomatoes are soft.