In terms of benefits, consider meditation a tool to understand your mind and to be better able to understand your drives and motivations, and to learn how to focus your attention on various aspects of yourself. What "result" you get from that depends very much on you and your motivations and desires, but what I feel I get from it is a stronger appreciation of the world around me, better concentration, and better impulse control.
A particular a-ha moment for me was how I feel I started noticing when I started rationalizing to myself why I should buy comfort food. It was a distinct feeling of "looking in" and getting to catch my mind in action concocting excuses for why I should give in and buy that chocolate that doesn't fit with my diet, early enough to make it easier to stop them. In other words it feels like it makes it easier to exercise willpower.
Note there's a lot of opinion and feelings here. There is actual scientific data on vipassana style meditation, but I'm a sceptic, and I know full well that some or all of the benefits I believe I see from it could be placebo, or unrelated to the meditation (perhaps it's just because I get more rest), and I certainly haven't measures them. But frankly, I'm also of the opinion that it doesn't matter all that much - if it's a placebo, it's a damn good one, that makes me feel good.
Try it for yourself and see. It is not a big investment in time.
A good and mostly secular introduction free of "woo" is Mindfulness in Plain English. It is available for free in non-DRM'd digital versions here: http://www.urbandharma.org/udharma4/mpe.html or you can buy the paper version of Amazon.
It is notable for very popular amongst non-buddhists, including skeptics/atheists for it's lack of religious content. There are some scattered references to buddhism, but they are mostly providing context and explanation of the background of vipassana, and to me at least, as a lifelong hardline atheist, were not particularly obnoxious.
The Urban Dharma site also have a lot of other introductory resources - I'd particularly recommend the "Introduction to Meditation" audio series by Gil Fronsdal.