Drizzle olive oil or add a pat of butter (or both) in a frying pan and heat on medium-low. As the pan is warming up, whisk the eggs. When the oil is shimmering, pour the eggs into the pan and move them around with a spatula. Add the cheese and continue to move the eggs around. Cook until the cheese melts and the eggs are soft set and no longer shiny, 2 to 3 minutes. Season with salt and pepper and garnish generously with fresh dill.