To blanch the broccoli, bring a big pot of water to boil. Drop the florets into the water and cook for two to three minutes until bright green and tender. Immediately drain in a strainer and put in an ice bath (a large bowl filled with ice water). This will stop the cooking process. Once the broccoli is cool, drain again and set aside.
Slice the kielbasa into ½ inch pieces. Cook on medium heat for 2 minutes per side.
Add the ginger and garlic. Cook for 1 minute.
Reserve 2 tablespoons of the broth and pour the rest into the pan with the cooked kielbasa. Add the soy sauce, brown sugar, and sesame oil.
Mix the reserved broth and cornstarch. Stir to combine and add it to the pan. Cook until sauce has thickened, about 3-5 minutes.
Add broccoli and stir to combine and heat through. Garnish with green onions and serve over rice. Enjoy!