In a bowl, mix together the ground pork, green onions, soy sauce, sesame oil, grated ginger, salt, and white pepper.
Place a small spoonful of the pork mixture in the center of each wonton wrapper. Moisten the edges with water and fold the wrapper to seal, creating a triangle or pouch shape. Press the edges to seal tightly.
Bring a large pot of water to a boil. Gently drop the prepared wontons into the boiling water and cook for 4-5 minutes, or until they float to the surface. Remove with a slotted spoon and set aside.
In another large pot, heat the chicken broth over medium heat. Add the minced garlic, soy sauce, sesame oil, and white pepper. Bring to a simmer.
Add the chopped bok choy (or spinach) and cook for 2-3 minutes until wilted.
To serve, place a few wontons in each bowl and pour the hot broth over them.
Garnish with sliced green onions and serve immediately.