Chop the broccoli into florets and thinly slice the green onion.
In a 10-inch skillet over medium heat, heat the olive oil with the broccoli florets and sauté for 5 minutes, stirring occasionally. Add the green onions and season with the salt and pepper. Cook for 2-3 minutes more, until the broccoli is crisp-tender and browned in spots.
Add the feta, season with more salt and pepper to taste and serve.