You can access your WordPress installation via the server IP without making any changes. You just type the URL below and change it to suit for your account:
http://serveraddress/~username/path_to_WordPress_installation/
However, in order your links to access the content via the server's URL you should make the following changes:
You should change the 'siteurl' option in your WordPress database. Here is the path to do this change:
Go to cPanel --> 'phpMyAdmin' in the Databases box. Then from the left bar select the database for your WordPress installation
Browse the table 'wp_options' --> Find the options 'siteurl' and 'home'. Change their values to the desired URL.