Combine the marinade ingredients (garlic, ginger, honey, and soy sauce). Divide in half.

Marinate the shrimp with half of the sauce for 5-10 minutes (or as long as 24 hours). Once the shrimp are finished marinating, discard the marinade.

Put broccoli in a small bowl and pour in a few spoonfuls of water. Steam in microwave for a couple of minutes.

Put a skillet on high heat and add the oil, then add the shrimp. Cook shrimp for 1-2 minutes on each side until browned.

Add the broccoli and the other half of the sauce and mix well to combine. Serve.