1. Combine broccoli, carrot and water in a 10-inch nonstick skillet. Cook over medium heat until tender, stirring occasionally to break up broccoli, about 10 minutes. Drain well.
2. Beat eggs, milk, salt and pepper in a large bowl until blended. Add broccoli mixture, cheese and green onion. Mix well.
3. Coat skillet with cooking spray and heat over medium heat for 8 to 10 minutes, until eggs are almost done.
4. Remove from heat. Cover and let stand until eggs are completely set and no visible liquid remains, about 8 to 10 minutes. Cut into wedges.