Press or chop the garlic. Put a splash of oil in the pan and sweat the garlic in it. As soon as it looks slightly translucent, add the milk, butter and broth, about two teaspoons of broth to 500 ml of water, and bring to a simmer.
Then add the pasta, salt and pepper. Simmer over medium heat, stirring occasionally, until the pasta has absorbed the liquid and the pasta is al dente.