Heat the olive oil in a large nonstick frying pan over medium heat. Add the green onions, garlic, and ginger, cooking for 2 to 3 minutes, or until fragrant.
Add the rice, and stir to combine, breaking it up using a spatula, as needed.
Add the edamame beans, peas, carrots, celery, and kimchi, stirring occasionally until the vegetables are cooked. Add the soy sauce and sesame oil.
While the rice is cooking, cook the eggs your preferred way.
Divide the rice among 4 bowls and top with the egg. Garnish with sesame seeds.