1. In a bowl, combine soy sauce and sugar. Heat 2 Tbsp. vegetable oil in a large nonstick skillet over medium-high heat. Add eggs and cook, stirring, until just set. Transfer to a bowl; wipe out skillet.
2. Heat remaining 2 Tbsp. oil in same skillet. Saute garlic and ginger for 30 seconds. Add rice and salt; stir-fry until starting to crisp, 3 to 4 minutes. Add soy sauce mixture, scallions and vegetables; stir-fry until hot, about 5 minutes. Return egg to skillet; stir-fry until combined. Drizzle with sesame oil and serve.