With her classmates, it might be a bit different. Some might be jealous of her early start, but others could be in awe of her. She would have more time to form friendships with those who are also interested in academics, like Neville. And for those who are more into mischief, like the Weasley twins, they might see her as an interesting challenge to include in their antics.
It could strengthen her relationship with the teachers. Since she is there early, she can make a good impression on them right from the start. They might see her eagerness to learn and give her special privileges or tasks, which would set her apart from other students.
As for her relationship with Harry and Ron, when they arrive, she would already have a bit of an edge. She could be the one to show them around the parts of the school she discovered early. This could make her seem more confident and in - control, which might initially make Ron a bit grumpy but would ultimately lead to a stronger bond as they face the challenges at Hogwarts together.
Hermione could also get some extra study time in the library. With no other students around, she would have access to all the books she wants without any distractions. Maybe she would find some really rare and powerful spells or magical knowledge that would help her throughout her time at Hogwarts.
She might have more time to explore the library on her own. Without the distraction of other students at first, she could discover some really rare and powerful magic books. This could give her a head start in her studies and she might even come across some ancient spells that could be useful later in her adventures at Hogwarts.
The students would surely miss her. She's a role model for many, especially the younger students who look up to her intelligence and determination. Without her, the study groups and academic competitions might not be as intense or successful.
One reason could be for an advanced placement test. The Hogwarts professors might have recognized her exceptional magical abilities from her pre - Hogwarts education and wanted to assess her early. So they invited her to come early to take some special tests to see if she could skip some basic courses.
Their relationship with the Hogwarts student body as a whole would be a big part of the story. Some students might gossip and spread rumors, which could isolate Harry and Hermione. But there would also be those who would be empathetic. Their relationship with each other would also deepen in new ways. They would have to rely on each other more than ever, and the shared experience of pregnancy would bring them closer together, even as they face the challenges of being young parents - to - be in a magical school.
Maybe she leaves because of a conflict. It could be with a teacher who doesn't support her unorthodox ways of learning or a fellow student who makes Hogwarts an unpleasant place for her. In fanfiction, there could be a lot of creative interpretations of such conflicts.
It could make Hermione more confident. Knowing she has an older brother might give her a sense of security, so she could be more assertive in her friendships. For example, she might be more likely to stand up to Ron when they have an argument, because she has that family support in the back of her mind.
There's a chance she meets some old Death Eaters who are lurking around Spinners End. This would put her in a very dangerous situation, but it would also make for an exciting plot. She would have to use her wits and magic skills to outsmart them. Or perhaps she meets some of Snape's old school friends who can provide insights into his character and motives.
If she has become more confident in her magic skills over the summer, she might be more assertive in her relationships. For example, in group projects at Hogwarts, she could take a more leading role instead of just being the one with all the book knowledge. This could either strengthen her existing friendships or cause some frictions as others might not be used to this new side of her.
Well, it could be about Hermione exploring the dark secrets of Spinners End. Maybe she discovers some old potions or dark magic artifacts there that are related to Snape's past.