Steep the minced garlic in the olive oil for at least a 1/2 hour. Preheat oven to 425 degrees. Take your grape tomatoes and cut them in half and put them in a shallow baking dish. Once the garlic olive oil mixture is ready, pour it over the tomatoes and toss lightly so that they are all covered.
Put the mixture into the oven for about 30 mins. I usually stir the tomatoes after about 15 mins.
Sliver your basil. Once the 30 minute mark is up, take the baking dish out of the oven, add the basil and mix well. Cut the goat cheese in rounds and layer it so that it covers the top of the tomato mixture. You could also use crumbled goat cheese as an alternative. Return the dish back into the oven and lightly broil it until the cheese is melted and slightly browned.