STEAM BROCCOLI: See Note 4.
SAUCE: In a small bowl, add cornstarch and soy sauce. Whisk with a fork until smooth. Add remaining sauce ingredients and whisk again.
SHRIMP: Add oil to a large nonstick skillet over medium-high heat. Add 1/2 of shrimp in one even layer (don't overcrowd or overlap). Cook for 1 minute, then use tongs to flip on the other side and cook for 1 more minute up to 90 seconds or until cooked through. Use tongs to transfer to a plate. Repeat cooking the remaining shrimp and transfer to the plate.
VEGGIES: Keeping the heat at medium-high, add in the thinly sliced onion. Cook, stirring frequently for 2-3 minutes or until starting to soften. Add a touch more oil if needed and scrape the bottom of the pan as you cook. Add in garlic and ginger, cooking for another 30 seconds. Finally, add in broccoli and cook to crisp tender.
ADD SAUCE: Quickly stir up the sauce again (honey usually settles) and add to skillet. Cook, stirring constantly, until the sauce thickens like syrup (about a minute). Add the shrimp back in (and any accumulated juices) and toss through just to fully warm the shrimp. Remove from heat, garnish with sesame seeds if desired, and serve immediately! We like this served over cooked rice.