At My Sites we have Sandboxes and also Production Sites.
A production site has its own domain and it will be published in your own hosting. In contrast, Sandboxes have a domain provided by deevop and they are useful to start working before we have a domain or to make experiments in a safe environment.
Let's now import one of your own sites as a production site.
When you import a site, deevop brings a copy of your site to the Develop phase and leaves the online version untouched.