Set oven rack to about 4" below the broiler element. Preheat broiler.
Cut tomato in half horizontally. Stand a box grater in a large, low sided bowl. Rub the cut side of the tomato over the largest holes of the grater. Continue until all the pulp has been rubbed of and you are left with the tomato skin in your hand. Discard skins and reserve pulp.
Slice the baguette about 1" thick. Lay slices out on a baking sheet.
Broil bread 2-3 minutes until surface is golden brown. Turn bread over and repeat on the other side. Watch carefully so bread does not get too brown or burn.
Remove bread from the oven and rub the cut garlic over one side of each piece. Spoon tomato pulp evenly over each piece. Drizzle a bit of olive oil over each piece and top with a pinch of sea salt.