Originally Posted by
SBcycling
Will I get used to this over time?
Yes. The human body is remarkably adaptive. Still however, as suggested above, you might want to research alternate routes. Your body will grow stronger so the hill is doable, but nothing you do to your body will change the layout of the road or the (in)attention of drivers.
How do I avoid getting sweaty when I turn up at university?
Well maybe you can't avoid getting sweaty, but what facilities are available at your University? I know American universities are a lot more sports-oriented (-rabid) than our European counterparts, but at basically every american university, all students have access to a gym with locker rooms and showers. I am fortunate to have that situation as my work as well; I am able to leave jeans, shoes, and towel in a locker full time, and just carry fresh shirt, socks, and underwear daily. (And transport jeans/towel home for washing occasionally). Look into what facilities your university might offer.
Can I keep this up in all-seasons?
Yes. A great saying goes: there is no bad weather, just bad clothes. Unfortunately proper gear to keep a cyclist comfortable in UK rains is expensive, but it's out there, and these guys can give you good advice about how to find it.