Place the salmon filets in a deep dish and douse them with half of the soy sauce. Cover and allow to marinate for 15 minutes.
Meanwhile, make the rice by adding 1 cup dry white rice, 2 cups water, 1 tsp of butter and a pinch of salt to a rice cooker. Then steam the broccoli by using a steamer or boil in water for 2 minutes on the stove before draining.
Pour 1 1⁄2 cups of water into your Instant Pot. Place the trivet in and line the top of it with a sheet of aluminum foil.
Place the salmon filets on top of the foil-lined trivet. Replace the lid and pressure cook on high for 4 minutes.
After the 4 minutes is up, open the valve to quickly release the pressure.
Remove the salmon, foil, and trivet, and drain any excess liquid from the Instant Pot. Set the salmon aside on a plate and tent it with foil.
Turn your Instant Pot on to saute mode and add sesame oil. Once heated, add the garlic and cook until slightly softened and fragrant, about 30 seconds.
Add in the ginger, remaining soy sauce, brown sugar, honey, and mirin. Whisk until just combined.
In a small bowl, mix together the cornstarch and water to create a slurry. Pour into the Instant Pot and bring the mixture to a boil, whisking constantly. Cook until the sauce becomes thick and sticky, about 1-2 minutes.
Turn off the Instant Pot and brush the salmon filets with the sauce. Garnish with sesame seeds and sliced green onions. Serve immediately with rice and broccoli.