Embed IPB forums to wordpress page

Your best bet is to modify your IBP theme to bootstrap WordPress, and display the header and footer, you can do this by following this Codex article here.

This will load the WordPress environment and allow you to use WordPress functions:

<?php 
/* Short and sweet */
define('WP_USE_THEMES', false);
require('./wp-blog-header.php');
?>

Modify the require statement as necessary to match your folder structure.

Beyond that however, you’ll need to use WordPress functions inside your IBP forums theme. How you do this is not something within the scope of this site or my knowledge and requires IBP people with IBP knowledge, as this isn’t the place to discuss IBP theming.