There are two parts to WP: the database (stores the posts/pages/settings) and the theme (stores the code that generates the page and styles it). The WP ‘engine” uses both to generate the pages of your site.
So, you have to copy the theme files to the new system. The link in the comment to your question tells you how to move a WP site to another server. And you may also need to move the plugins. Quick way: copy the wp-content/themes and wp-content/plugins folder to the new system.
Plugins and themes store their settings/customizations in the database.