Wash and chop the veggies into small pieces.
Heat half the oil in a pan (non-stick if possible) and fry the veggies until soft. Set aside. Clean the pan with a tissue.
Crack the eggs into a bowl and beat well with a fork, adding the salt and pepper
Heat the rest of the oil in a pan on low to medium heat.
Pour the egg mix into the pan.
Using a spatula, ruffle the omelette so it doesn't stick. As you create gaps tilt the pan so the liquid fills the spaces.
Let it cook for about 2 minutes and...
Here's the important part: when the egg mixture looks nearly cooked (but there's still just a tiny bit of runny egg left) drop the veggies, herbs and cheese onto half of the omelette.
Fold the empty half of the omelette on top of the other.
Slide it onto a plate - the heat from closing the omelette will finish cooking the inside.