It is hard to tell for sure without firsthand testing. But this looks like it is not loading the CSS file(s), which tell how a website should look. It can happen if the domain name is changed but there are hard coded references to the old domain which are not updated. You can right-click on the website, select View Source, and look for references to the old domain. Depending on the intricacy of the coding and your skill level, you may be able to make the updates yourself or you may need to work with a developer to make the updates for you.