VMs specially templates use disk space. Also default private storage max size is 2 GB, but it is very easy to increase it as required. If you use all disk space, you will get the Out of disk space error that may crash your system because Dom0 does not have enough disk space to work.
A system in out of space condition should be able to boot, but may be unable to load a desktop manager. In this case it is possible to login to dom0 terminal with Alt + Ctrl + F2. To recover disk space it may be possible to delete files in a userVM connecting to the userVM terminal:
If this does not work, check the size of /var/lib/qubes/qubes.xml. If it is zero, you'll need to use one of the file backup (stored in /var/lib/qubes/backup), hopefully you have the current data there. Find the most recent one and place in /var/lib/qubes/qubes.xml instead of the empty file.