Cut the pork shoulder into 1-inch cubes and season with sea salt and black pepper.
In a small bowl, whisk together the gochujang, tamari, sesame oil, rice vinegar, honey, grated ginger, and minced garlic.
Thread the pork cubes onto wooden or metal skewers, leaving a small space between each piece for even cooking.
Heat a grill pan or outdoor grill over medium-high heat and lightly coat with a drizzle of oil if needed.
Grill the skewers for 3-4 minutes per side, brushing generously with the gochujang glaze during the last few minutes of cooking until charred and cooked through.
While the pork is grilling, steam the broccoli florets until tender-crisp, about 4-5 minutes.
Serve the skewers over the steamed broccoli and garnish with sesame seeds and thinly sliced green onions.