Add the warm milk to a stand mixer bowl. Sprinkle the yeast and sugar on top and let it sit for 10 minutes. The mixture will become frothy.
Add the melted butter, salt, and flour to the mixer bowl.
With the dough hook attached, mix the ingredients on low speed for 8 minutes until the dough becomes smooth and elastic.
Shape the dough into a ball and add it to a lightly greased bowl. Tightly cover the bowl with plastic wrap and let it rise in a warm area for 1 hour or until the dough has doubled in size.
Punch the dough down and divide it into 8 pieces. Roll each piece into a ball and place them on a parchment-lined baking sheet.
Press the dough balls down slightly and top each with a generous amount of grated cheese.
Let the buns rest for 30 minutes as you preheat the oven to 375°F.
Bake for 15 to 20 minutes until the buns are puffy and the cheese is nicely browned. Allow the buns to cool slightly before eating.