In a medium-sized bowl, whisk together the soy sauce, brown sugar, sesame oil, minced garlic, grated ginger, and gochujang until you achieve a consistent mixture. Set this sauce aside to let the flavors meld.
Heat a large skillet over medium heat. Add the ground beef to the skillet, breaking it apart with a spatula as it cooks. Continue cooking until it’s evenly browned and no pink remains, about 5-7 minutes.
Carefully drain any excess fat from the skillet. Pour the sauce mixture over the browned beef and stir thoroughly to ensure the meat is well-coated. Allow it to simmer gently for an additional 3-4 minutes, letting the sauce thicken slightly.
Add the shredded carrot and diced bell peppers to the skillet with the beef. Stir to combine, and cook for another 3-4 minutes until the vegetables are tender but retain a slight crunch.
Remove the skillet from heat and stir in the chopped green onions, reserving a small amount for garnish.
In serving bowls, place a generous scoop of cooked rice as a base. Top each bowl with a hearty portion of the Korean ground beef mixture, ensuring an even distribution of meat and vegetables.
Sprinkle sesame seeds liberally on top, along with the reserved chopped green onions for an added pop of color.
Notes
For a visually appealing presentation, create a colorful swirl of the beef and vegetables on top of the rice, and consider serving a small bowl of kimchi on the side.