To run a shell or command on a remote computer you
can of course run the ssh command in a DomTerm window.
This works, but has some limitation, most notably there is no
persistent session on the remote server if the connection fails.
Various tools can be used to provide persistence, but
DomTerm provides integrated functionality.
One option is to use a web browser to connect to DomTerm as a web server running on the remote host. This works best if you want to set up a public-accessible service. Alternatively, DomTerm can run as a layer on top of ssh; that is usually easier to use and set up.