Place the beef stew meat, chopped onion, and minced garlic into the slow cooker.
Pour in the beef broth and soy sauce, then add the dried thyme, salt, and black pepper.
Stir the ingredients to combine, cover the slow cooker, and cook on low for 7 hours.
Add the broccoli florets during the final hour of cooking so they soften but stay intact.
Stir once more before serving to distribute the broccoli through the broth.