In a small bowl, whisk together the honey and minced garlic.
Steam or blanch the broccoli florets in boiling water for 2-3 minutes until crisp-tender, then drain.
Melt the butter in a large skillet over medium-high heat.
Add the shrimp to the skillet in a single layer and cook for 2 minutes per side until pink and opaque.
Pour the honey-garlic mixture over the shrimp and cook for 60 seconds until the sauce begins to emulsify and thicken.
Add the steamed broccoli to the skillet and toss to coat thoroughly in the honey-garlic butter sauce.
Remove from heat and serve immediately.