I think you'll find it's worth learning how to work with themes on WordPress in the long run. What you want takes quite a bit of editing that you might regret, especially if you're not that well-acquainted with coding. Also, working with themes allows you to use a lot instead of just one.
This tutorial should be loads of help for you.
However, if you insist, it just takes some customization. In the default theme folder, you should find a file called index.php. Leave out just the blog by removing certain includes on that page. (I haven't used WP in ages and I'm not really updated on its organization or whether they changed things around so I'm not sure which includes you should remove in specific.)
If you integrate Wordpress on a page using PHP includes, you should get what you're looking for.