Sauté Aromatics: Heat a small amount of sesame oil in a large pot over medium heat. Add the garlic and ginger, stirring until fragrant (about 1 minute).
Prepare the Broth: Pour in the chicken or vegetable broth. Bring the mixture to a gentle boil. Stir in soy sauce, and adjust the seasoning with salt and pepper.
Cook the Wontons: Reduce the heat to medium. Add the frozen or fresh wontons to the simmering broth. Cook according to package directions or until the wontons float to the surface, usually 3-5 minutes.
Add Vegetables: Stir in the bok choy, cabbage, or any chosen vegetables. Simmer for another 2-3 minutes until the vegetables are tender but still vibrant.
Finish and Serve: Remove the pot from the heat. Garnish the soup with sliced green onions, sesame seeds, or fresh cilantro. Serve immediately for the best flavor.