Coat a grill rack or grill pan with cooking spray and preheat to medium-high.
In a medium bowl, combine the pork, 1½ tbsp soy sauce, sugar, ginger, and half the grated garlic. Divide the meat into 4 equal portions and shape each into a 5-inch-wide patty. Transfer the patties to the grill. Grill until the patties are cooked through, 4 to 5 minutes per side.
Meanwhile, in a 12-inch nonstick skillet, heat the oil over medium. Add the remaining grated garlic and cook until aromatic, about 1 minute. Add the rice and remaining 1 tbsp soy sauce and cook until heated through, about 2 minutes. Gradually add the spinach, stirring to wilt the leaves before adding more. Serve the rice with the patties and kimchi.
Serving size: 1 patty, ¾ cup rice, and ¼ cup kimchi
