Pat the shrimp dry thoroughly with paper towels to remove excess moisture, which helps achieve a good sear. Set aside.
Heat a large skillet over medium-high heat and add the neutral cooking oil. Wait until the oil shimmers and is hot enough to sizzle when shrimp are added.
Add the shrimp in a single layer to the hot skillet. Cook for about 2 minutes until they turn pink and start to curl, creating a slight sear on one side. Flip gently with a spatula and cook another 1-2 minutes until just cooked through. Remove the shrimp and set aside.
Reduce the heat to medium. Add the minced garlic to the same skillet, sautéing for about 30 seconds until fragrant and slightly golden, filling the kitchen with that pungent aroma.
Pour in the honey, soy sauce, and a teaspoon of sesame oil. Stir quickly, scraping up any browned bits from the bottom of the pan. Bring the mixture to a gentle bubble and cook for 1-2 minutes until it thickens slightly and becomes a shiny, amber glaze.
Return the cooked shrimp to the skillet, tossing gently to coat them evenly in the glossy honey garlic sauce. Cook for another minute until the shrimp are heated through and enveloped in the sticky glaze.
Turn off the heat and sprinkle with sliced green onions for a fresh pop of color and flavor. Serve immediately over steamed rice or noodles to soak up all that delicious sauce.