Preheat the oven to 400°F.
In a bowl, whisk the eggs, milk, salt and pepper until blended. Stir in ½ cup of the cheese.
Heat the olive oil in a 10-inch oven-safe skillet over medium heat. Cook the onion and bell pepper for 4–5 minutes, until softened.
Add the spinach and stir for about 1 minute, until wilted.
Pour the egg mixture over the vegetables and stir once to spread everything out. Cook without stirring for 2 minutes, until the edges begin to set.
Sprinkle the remaining ¼ cup cheese over the top and move the skillet to the oven. Bake for 10–12 minutes, until puffed and set in the center.
Let it rest for 5 minutes, then slice into wedges. The skillet handle will be very hot, so use an oven mitt.