Melt butter over medium heat in an oven proof pan (ex: cast iron)
Add the onion and cook until the onion is a bit glossy (3-5 minutes)
Add the chopped broccoli to the pan
Season with salt and pepper, stirring gently
Whisk eggs in a bowl and pour over the onion and broccoli
The eggs will begin to set quickly
Toss on the felt and do not stir
Cook on medium heat, until the eggs are firm on the bottom (4-6 minutes)
Gently lift with a spatula to take a peek
Turn broiler on to high
Place pan under broiler briefly (approx. 2 minutes)
Watch carefully because the eggs will brown very quickly!