Preheat the broiler and place the rack as close to the heat source as possible.
In a large bowl, whisk together gochujang, olive oil, soy sauce, and honey. Add the shrimp and green beans and stir to coat.
Line a sheet pan with aluminum foil and spread shrimp and green beans evenly in a single layer, leaving behind any excess marinade. Broil until the beans are charred in spots and shrimp is cooked through, about 5 minutes.
Serve with rice or noodles.