Yeah, I know the Surface Pro 2 is double the price but probably twice as versatile as the iPad. A full fledged Windows 8 OS could run on it while bugs are gone. I plan to use it for school and leisure, which I could do with both but maybe more-so on the Surface than the iPad. I've been thinking this over for weeks now and can't decide. iPad has more apps while Surface has every download you could think of that's on Windows 8...
They are not even remotely similar, besides that they're in a 'tablet' form factor.
If you're using it for school, as in writing documents, spread sheets, power point, doing online homework (that often requires plug-ins unavailable for an iPad) then you'll want a full computer oporating system -- which of your options is the MS Surface Pro 2.
If you're just browsing the internet, messaging, and 'light' note taking the iPad with a BlueTooth keyboard can suffice.
The argument there are "more" apps is a bit nieve. It only matters how many apps you plan to use. The one you may use most may not even be available for iPad. Moreover, the Surface Pro is not designed to be an app platform, no matter how fervently MS tries to push it, which is why Surface RT has been a failure.
The Surface Pro i
s not the 'traditional' tablets similar to your typical iPad or Android no matter how much MS tries to push it. The Surface Pro is a Windows machine in tablet form factor. Whether that suites you or not is something you'll have to figure out -- I personally loved it as a machine for using the stylus and taking notes via OneNote.
However, outside of that I didn't find it very useful. It was noisy and extremely hot, and weighs considerably more than a 'true' iPad styled tablet -- so it was uncomfortable to carry, watching videos, using hand gestures, etc for long duration. Additionally, the lack of a self supported screen/keyboard made it awkward to use in truly mobile/non desk scenarios as you can't just prop it up in your lap with real stability, or screen angel control.
The Surface Pro 2 should be a considerable improvement in increasing its performance to be a real 'desktop' replacement, in the sense that you don't really need a second machine for home / office
for normal everyday tasks, thereby making it a better analogy to a laptop, but it's still a jack of all trades, and master at none (except stylus writing).