Place the broccoli in a microwave-safe bowl with 1 cup water, cover, and steam in the microwave for 3-4 minutes until the broccoli is crisp-tender (or steam on the stovetop).
In a deep 12-inch skillet (you can also use a saucepan or pot), whisk together the broth, sugar, soy sauce, oyster sauce, cornstarch, ginger, garlic and sesame oil.