This is simply WordPress’s default
wp_link_pages template tag, which is a standard function that is generally placed in the template file for pages in any WP theme. It is only activated if you paginate your static page.
Styling this will be a customization you’ll need to make. For CSS changes, it’s a good idea to use a tool like firebug or Google Chrome’s built-in developer tools to locate them and then put the edits either in your child theme or in the “Custom CSS” option on your theme options page.
Also, here’s a helpful tutorial on how to use Firebug – http://vimeo.com/20917974. The only thing I’d suggest not doing is actually making edits to the theme’s CSS files, as it shows at the end of that video. However, the video serves as a good introduction to Firebug and how it can be used to find what CSS is effecting certain areas of your site without ever digging around in any files.
If you search around you’ll find tutorials and what not on working with
wp_link_pages and you require edits to where the the function is actually called in specifically in the theme, you’d copy content-page.php to your Child theme to edit.