Cook pasta according to package directions, omitting salt and fat. Drain; place in a large bowl. Add goat cheese, basil, salt, and pepper to pasta; stir until well blended.
While pasta cooks, heat oil in a large nonstick skillet over medium-high heat. Add garlic; sauté 30 seconds. Add tomatoes; cook 2 minutes, stirring frequently. Add broth; cook 1 minute. Add tomato mixture to pasta mixture; toss gently to combine.