His relationship with Sasuke would be very different. Sasuke might see Naruto in a new light, perhaps with more respect as he's achieved the highest position in the village. Naruto would also have a different dynamic with Kakashi. He'd be more of an equal now, and Kakashi would have to adjust to Naruto being in a leadership role.
With his friends like Shikamaru and Choji, Naruto would become more of an authority figure. But he'd still be their friend at heart. They might be a bit more cautious around him at first, but Naruto would make sure to keep their friendships strong. And his relationship with the older generation like Tsunade would shift. She'd probably have to trust Naruto more and give him more responsibilities, which could be a bit of a struggle for her at first.