Place the pork tenderloin in the bottom of the slow cooker.
In a mixing bowl, stir together the honey, soy sauce, minced garlic, grated ginger, rice vinegar, and sesame oil until well combined.
Pour the sauce mixture evenly over the pork tenderloin.
Cover and cook on low for 6 to 7 hours, until the pork is very tender.
About 10 minutes before the pork is done, steam the broccoli florets until bright green and crisp-tender.
Slice the pork and serve it with the steamed broccoli on the side. Spoon some of the cooking sauce over the pork and sprinkle with sliced green onions and sesame seeds.