Pull the pot off the heat and, using a microplane or the fine side of a grater, grate the garlic cloves directly into the sauce. Add the al dente linguine, Parmesan and 1 cup of the pasta water. Toss to combine, return to medium heat and continue cooking for 2 to 3 minutes, stirring continuously, until the sauce clings to the pasta. Taste and add salt as needed. Add more pasta water, if needed to loosen the sauce, and serve warm.