Start by mixing your sauce ingredients in a small bowl—combine the soy sauce, oyster sauce, honey, cornstarch, water, and sesame oil. Whisk it all together until the cornstarch dissolves completely (no lumps). Set it aside and don't panic if it looks thin right now—it'll thicken up once it hits the heat. This is the magic that makes your beef and broccoli taste restaurant-quality.
Pat your beef strips completely dry with paper towels—this step actually matters because it helps them get that golden crust. Cut your pieces to about 3 inches long so they cook evenly throughout. Mince your garlic and grate your ginger, then have both ready to go before you start cooking.
Heat 1 tbsp of vegetable oil in a large skillet or wok over medium-high heat until it shimmers. You'll hear it sizzle when you add the beef—that's exactly what you want. Working in batches (don't overcrowd the pan or it steams instead of sears), cook the beef for about 2-3 minutes per side until it gets that nice brown crust.
Remove the beef to a clean plate and set it aside—don't worry if it's not fully cooked through yet. Add the remaining 1 tbsp oil to the same skillet and let it get hot again. This is where the magic happens with your quick stir fry.
Toss in your minced garlic and grated ginger, stirring constantly for about 30 seconds until the kitchen smells absolutely amazing. Don't let them burn—that's the one thing that'll mess this up. Then add your broccoli florets and stir everything together.
Cook the broccoli for 4-5 minutes, stirring occasionally, until it starts to get tender-crisp. You want it cooked through but still with a little bite—mushy broccoli won't make you happy. Pour in your sauce mixture and stir it all together quickly so it coats everything evenly.
Return the beef to the skillet and toss everything together for another minute or two until the sauce thickens and clings to the beef and broccoli beautifully. This whole beef and broccoli recipe comes together so fast at this point. Top with sliced green onions and serve immediately over rice or noodles.