Start by pressing your tofu. Wrap it in paper towels, place a heavy object on top, and let it sit for 15 minutes.
While the tofu drains, whisk together soy sauce, cornstarch, and vegetable broth in a small bowl. Set this sauce aside.
Cut the tofu into 1-inch cubes and season with salt and pepper.
Heat vegetable oil in a large wok or skillet over medium-high heat. Add tofu and cook until golden brown on all sides (about 5-7 minutes).
Remove tofu and set aside. In the same pan, add broccoli, garlic, and ginger.
Stir-fry for 3-4 minutes until broccoli turns bright green but remains crisp.
Return tofu to the pan, pour in the sauce mixture, and cook for 2-3 minutes until the sauce thickens.
Finish with a drizzle of sesame oil and give everything a final toss.