Heat 1 teaspoon sesame oil and vegetable oil in a large skillet or wok over medium heat.
- Add minced garlic and sauté for 30 seconds until fragrant.
- Add chopped kimchi and cook 2-3 minutes, stirring occasionally.
- Stir in cauliflower rice and kimchi juice; cook 5-7 minutes, stirring frequently, until tender.
- Add soy sauce, salt, pepper, and sliced green onions; stir to combine.
- In a separate non-stick skillet, heat remaining 1 teaspoon sesame oil over medium heat.
- Crack eggs into skillet; fry until whites set and yolks remain runny or to preference.
- Divide kimchi cauliflower rice onto plates and top each with a fried egg.
- Garnish with toasted sesame seeds and extra green onions if desired.
- Serve immediately.