The interview is pretty wide ranging, as Vogue puts it in their intro it touches on "misconceptions, celebrity, family, work, and style." Though it's undoubtedly sanitized a bit compared to conversations they would/do have in private (as would be the case with any famous couple), it's not every day you would get to see someone as genuinely interesting as Kanye West try his hand at playing interviewer.
Here's a few answers to possibly get you intrigued...
For one, Kardashian talks about where she currently stands in her goal to pass the California bar exam, which came after West asked her what she thinks a common public misperception of her is:
KW: Maybe you underestimate how other people see you. I think other people are expecting someone else.
KKW: But misconception… For example, my mind is so focused right now on law school. There is a misconception that I don’t actually have to study and I that I’ve bought my way into getting a law degree – that’s absolutely not true. I have to put in just as much work as everybody else, the same number of hours that are required by law, and I have to write essays, take tests, and actually pass them. There are no short cuts; there is no easy way out.
Later on, West asked his wife if negative stories about their often written about relationship bother her. Here's what she said:
KW: We are constantly in the news, and sometimes we end up reading unpleasant things about ourselves. Does it affect you?
KKW: When it’s about my family, I get really protective. Most of the time when things are so baseless or absurd, I have a good laugh. But as far as dealing with it on a daily level for me, I’m pretty content. If it’s about you, or the kids, or my sisters, I can get worked up when I read things that are false or negative. But when it’s about me, I’ve learned how to block out the noise for the most part.
As for what Kim's thought of Kanye when they first met, which was before he ever put out his first album, here's that answer for you:
KW: What did you think of me the first time we met?
KKW: This was before you released your first album and you were known as a music producer. I was really shy. You thought I was Brandy’s assistant, which I wasn’t. Ever since you said that, it’s everywhere… like “Kim is Brandy’s assistant.” I was her friend and stylist. [laughs]. I thought you were attractive, nice, very charming, really funny, powerful – I was in awe of you, but I was really shy, quiet, and a little nervous, to be honest.
And as for what motivates super hard working people like them, here's her best guess:
KW: Why do we work so hard? What do you think drives us?
KKW: We have such big visions of what we want our life to be. But for me, it’s probably not as big of a vision as yours. I saw my parents work so hard growing up; my dad always respected hard work, which is such an Armenian trait. Their hard work influenced me from a very young age.
You can read the entire thing without seemingly arbitrary excerpts here.