Start by grating the carrot using the smaller holes in the grater.
Once you’ve done that, into a skillet over low heat, add 1 drizzle of olive oil, add the carrot and salt to taste, stir well until cooked.
Then set aside.
Into a bowl, add the eggs, salt and black pepper, mix well until combined.
Pour in all the carrot and mix.
Pour all this mixture into a skillet greased with 1 drizzle of olive oil.
Spread well and cover the skillet, let it cook for 7 minutes.
After this indicated time, add the grated cheese to half of the omelet then fold it over this filling.
Heat it up until the cheese melts.
Serve.