Warm the olive oil in a large pan over medium-high heat.
Add the ground beef and crumble it as it cooks, letting it brown fully for about 5 minutes.
Season the beef with salt and pepper according to your taste.
Mix in the diced onion and carrot, stirring occasionally until the onion softens, about 5 to 7 minutes.
Incorporate the minced garlic and cook it with the mixture, stirring continuously for 30 seconds.
Pour in the sliced cabbage, ground ginger, soy sauce, sesame oil, and sugar; cook everything together while stirring often until the cabbage becomes tender yet slightly crisp, about 5 to 7 minutes.
Take the skillet off the heat and sprinkle with chopped green onions and sesame seeds if you like.
Serve the dish warm and enjoy a quick, flavorful Egg Roll in a Bowl meal.