World domination by providing wealth
Knowledge
The hive mind acts as a single mind spread over all it's individuals. Not only that, it is as smart as the group of individuals. This definition is a bit vague, but let's roll with it.
What should you do? Put the hive mind equally spread out over the society. The hive mind can learn whatever is required. Think of a smith, where a lot of techniques are used to forge many items. Any next smith would only require the knowledge, and then gain the body and neuroreceptors required for smithing. It is likely not a case of 'instant download' and done, but you can fast track learning this way.
Extrapolate this to all branches of society. Government, tactics, farming and anything else. This can be used to quickly get up to speed and stay there, if not advance. Let's assume for the moment the hive mind does not innovate that well and suddenly be technologically superior. The hive mind is already in a great position.
Altruism
Other answers tell of the ability to sacrifice parts of itself as a powerful tool. Although powerful, it is much better tobe altruistic. It knows better where food or resources are needed, able to route it there. Taking care of itself and people in the vicinity will do two things. First of all,there are more people working (effectively), allowing higher wealth to be attained. Second of all, it'll foster a positive attitude to the hive mind. If you can grow together, surviving in hard times because the hive mind noticed an area where food got scarce, you'll not quickly raise a finger to it.
Together you can prosper, allowing then to become strong on the world stage.
One people, one culture
Now world domination. You can secretly plant hive minds in other cities and villages, slowly getting people to know the benevolence of the hive mind. It can adapt to their culture and peculiarities, while starting a slow indoctrination.
The problem with large empires of old is that communication was slow. Together with the change in culture over distance, it was hard to feel like one people. The hive mind solves this. Even though people work and pay taxes for a monarch they have never seen, they can appreciate the hive mind from him. The stories and decrees can feel much closer when they arrive more quickly and frequently. Even if there's different cultures, one constant of the cultures is the hive mind. It can get a voice in government of towns and villages, allowing people to see more eye to eye and work together instead of striving. All to benefit anyone within the slowly growing empire.
Strife
Though the hive mind would undoubtedly be powerful in battle, it would be the best to never have to war. Not unless it can absolutely decimate the enemy without leaving witnesses. The moment it is an aggressor people can start to wonder about what it could do on the wrong side. A bit of fear for the hive mind can be good in policing or making sure people do not try to take advantage. But an organism that could potentially go rogue and basically murder everyone in perfectly orchestrated attacks should terrify anyone. If an area has heard about the hive mind and is aggressive, it is better to make the surrounding areas prosper and win them over then to burn the area and salt it down. Not only do you lose valuable workers, but you lose potential allies, resources and space for expansion, not to mention the negative view people could get.
Conclusion
The hive mind should spread evenly though society. The hive mind first takes care of itself, it's wealth spread so each member thrives. This can be spread to people in contact for positive vibes, eventually spriralling in a slowly expanding strong empire. It would be a banger at war, but generally it is only detrimental to the hive mind as well as the empire.