Preheat your oven to 425°F (220°C) and line a baking sheet with parchment paper.
In a medium saucepan, combine the milk, butter, and salt and bring to a boil over medium heat. Once the butter has melted, add the flour all at once and stir vigorously until the mixture comes together in a smooth ball.
Remove the saucepan from the heat and let the dough cool for a few minutes. Then, add the eggs one at a time, stirring well after each addition. The dough should be smooth and glossy.
Stir in the grated cheese until it is well-combined.
Drop the dough by the tablespoonful onto the prepared baking sheet, leaving about 2 inches of space between each mound of dough.
Bake the gougeres for 15-20 minutes, or until they are puffed and golden brown. Remove them from the oven and serve them immediately.