Rub the inside of a medium bowl with garlic; discard garlic. Combine tomatoes, mozzarella, basil, and oil in bowl; season with salt and pepper and toss to combine. Let tomato mixture sit 15 minutes to let flavors meld.
Meanwhile, cook pasta in a large pot of boiling salted water, stirring occasionally, until al dente; drain. Add pasta to tomato mixture and toss to combine.
DO AHEAD- Tomato mixture can be made 8 hours ahead. Cover and chill. Bring mixture to room temperature before tossing with hot pasta.
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