Doubtful she was forced by her parents. By all (limited) appearances, they seemed pretty supportive. I'd be more inclined to believe that Hermione, having career-driven and well-studied parents, had a natural drive to strive for success in a similar manner. They would certainly set an example of what diligence looks like, and considering Hermione is pretty much a natural-born bookworm and an incredibly smart girl, even without magic there's a certain level of trouble relating to your peers in many situations similar to hers. Some children are simply less adept when it comes to general socialization, while others have a much easier time. My sister, for example, had a MUCH harder time making friends as a child than I did. Both of us were bookish and academically ahead of the majority of our peers, but we had starkly different social perceptions and aptitude as children. She spent more of her time finding her own entertainment and I think there was some level of anxiety there, while I was pretty much outgoing as fuckall and made friends with just about anyone. Some kids are just like that.

In Hermione's case, I'd imagine that she probably found quite a bit of her own entertainment and fulfillment in studies, stories, and self-sufficiency. For particularly intelligent children, it can be difficult to relate to your peers when your interests deviate on a level most kids your age simply can't identify with (or completely lack interest in). Books, for anyone with reasonably advanced reading skills, are an incredibly powerful escape.

Being sent off to Hogwarts likely put her in a situation where she is surrounded by her peers 24 hours a day and unable to retreat to her own little world at home. It isn't unreasonable to assume that this sudden and very constant level of socialization meant that, while she may have not hesitated to try to roll with it, she quickly found herself in uncharted and unexpectedly difficult territory simply for a lack of having to be deeply involved in a social world than before.

It's also quite important to note the age at which these kids start going to Hogwarts. When you hit 11, a lot of the dynamics of childhood begin to change. Referring back to my own childhood, I had a very easy time making friends and maintaining a busy, happy life as a kid, but once the transition into that godforsaken tween-age part of life began, my nerdy ass was suddenly exposed to a completely different dynamic that I was unprepared for. Being a child and being social wasn't difficult because politicking wasn't a factor during those years, but it absolutely becomes a huge factor in the life of preteens and teenagers, and for many of us, it took some time to adjust to. I vividly remember spending those years utterly baffled as to why everyone had become so irrationally complex (and mean, for fuck's sake, kids that age are horrible). The whole social dynamic is just mind-numbing at that point in time, and I can only assume for someone who may have spent less time engaging with other kids, it's just that much more difficult.

Hermione already has a natural personality of "I'm not interested in being right, I'm only interested in what is correct, and I can speak from experience when I say that trying to negotiate a world with an astonishingly high population of people who simply don't seem to care half as much about actual facts, it's extremely difficult to get a hold on. I still to this day have to manually curb the impulse to condescendingly grab people by the shoulders and scream "HOW THE FUCK ARE YOU THIS GOD DAMN STUBBORN?! YOU ARE ARGUING WITH FUCKING MATH. MATH!!"

That impulse to just turn around and correct someone or interject without a ton of grace is much harder to manage as you exit childhood and enter the tumultuous teenage years.