Pasta With 15 Minute Burst Cherry Tomato Sauce

Name: Burst Cherry Tomato Pasta
Ingredients: 1 lb. pasta; 1 tsp. Diamond Crystal or ½ tsp. plus ⅛ tsp. Morton kosher salt, plus more for pasta pot; ½ cup olive oil; 2 large garlic cloves, finely chopped; 3 pints cherry tomatoes; ½ tsp. freshly ground black pepper; Pinch of sugar; 1 cup coarsely chopped fresh basil; Freshly grated Parmesan (for serving)