Are you ready to install Drupal and start exploring? Sure, why not. Go to drupal.org and you will see a link to download Drupal.
This short tutorial shows the steps to install Drupal. For written instructions, see the INSTALL.txt file that comes with Drupal. The hosting provider you choose will influence what your interface looks like. I assume you can set up an empty site space on the server and assign it a domain or you can ask your hosting service to do it for you.