Have you ever been to a site and saw this cool feature? They have a link in their top navigation to something like Stumbe! or Read Random Articles, or some other creative text. When you click on that link, it takes you to a page that displays one random page. Each time you refresh, you are delivered with a new post. Well this trick is just for you then.
You would need to follow the trick #1 in this article to create a custom page template. And simply paste this code in there:
query_posts(array('orderby' => 'rand', 'showposts' => 1));
if (have_posts()) :
while (have_posts()) : the_post(); ?>
<h1><a href="<?php the_permalink() ?>"><?php the_title(); ?></a></h1>
<?php the_content(); ?>
This is a simple WordPress Loop that is running a query to display random posts and the number 1 in there is telling WordPress to only show 1 post. You can change that number, but most of the time people do it one post a time.
How to Create a Page that Displays Random Posts