Heat a large non-stick skillet over medium-high heat with half of the toasted sesame oil.
Add the raw shrimp to the skillet, season with sea salt and black pepper, and sauté until pink and opaque, then remove from the pan and set aside.
In the same skillet, add the remaining oil, minced garlic, and the white parts of the sliced scallions, sautéing until fragrant.
Stir in the chopped kimchi and gochujang, cooking for 2 minutes while stirring constantly to develop a deep, caramelized flavor.
Add the cooked brown rice and tamari to the pan, pressing the rice down firmly to crisp the bottom for 3 minutes before folding the shrimp back in.
In a separate small non-stick skillet, fry the eggs over medium heat until the whites are fully set but the yolks remain runny.
Divide the kimchi rice into two bowls, top each with a fried egg, and garnish with the remaining green scallion tops.