In a saucepan over medium heat, lightly brown the garlic in the butter. Add the broth and bring to a boil. Sprinkle in the polenta, stirring constantly. Let simmer for 2 to 3 minutes, stirring frequently.
Off the heat, stir in the cheese until completely melted. Season with salt, pepper and nutmeg. Add more broth, if needed.
Serve immediately. Delicious with Red Wine-Braised Sausages.