Begin by rinsing the shrimp and broccoli under cool water to remove any residues. Cut the broccoli into bite-sized florets for even cooking. Set aside the honey, soy sauce, and minced garlic, ensuring your ingredients are ready for the quick process of making Honey Garlic Shrimp and Broccoli.

In a large skillet or wok, heat 2 tablespoons of oil over medium-high heat until shimmering. Add the broccoli florets and sauté for 3-4 minutes. Look for a vibrant green color and a tender-crisp texture. Remove the broccoli from the skillet and set it aside, keeping it warm.

If necessary, add a little more oil to the skillet. Toss in the shrimp and minced garlic, cooking them for about 2-3 minutes per side until the shrimp turn pink and opaque.

Lower the heat and pour in the honey and soy sauce over the shrimp. Stir to ensure each shrimp is evenly coated in the sweet and savory sauce. If a thicker sauce is desired, mix 1 teaspoon of cornstarch with a bit of water and stir it in.

Return the sautéed broccoli to the pan, gently tossing it with the shrimp and sauce. Cook for an additional 1-2 minutes until everything is hot and thoroughly coated.

For an extra touch, sprinkle sliced green onions or toasted sesame seeds over the top. Serve immediately, perhaps over steamed rice, quinoa, or noodles.