A lot of it is ironic comedy, that appeals to the up-and-coming generation a lot more than it does to generations past. If you can't stand subtle humor, or anti-humor as some like to call it, you're probably not going to be able to get into the Office. Or if you're like me, you'll watch it from the beginning and by the time you're into the second season you'll have adjusted and find it hilarious! I will warn you, the first season can be a bit rough. It's a direct re-make of the British first season, but it's only...six episodes long? So get through that and into the second season, which is the first full-length season and also the first time they get to write their own material and it really becomes their own product.
I like the American version - the British version is even more filled with ironic, subtle comedy. TOo much so for my taste. Anyways, enough warning. You're not dismantling a bomb here, just getting into a really awesome show. Look, if it weren't good enough to appeal to the masses, it wouldn't have lasted so long and done so well in the ratings while in a primetime slot. It is the single reason why Community is failing right now (rival time slot). But you probably don't care about those specifics either...
The Office is all about the characters. The setting is, obviously...in an office. It's supposed to be based around the mundane, and it's basically about how these ridiculous characters make such a boring setting into a hilarious adventure. All the characters grow on you over time, and it gets to the point where some of the later season episodes get really emotional. My roommate and her sister actually both cried in the episode where two of the main characters got married.... Same with the pregnancy episode, and the birth episode. DOn't get me wrong, it's not cheesy or romantic about 99% of the time, it just has it's "moments" are really heart-felt if you've invested in the characters.
I love it. If you watch through some of it, and at LEAST make it through the second season and still don't like it, fine. It's not for EVERYONE (although it should be). Just give it a chance.