ssh – monitor remote command locally

so I have a 3d printer hooked up to a laptop with ubuntu 19.10. When I start up the service for the octo print, I like having the output in a terminal so I can monitor it when I’m downstairs. But, I need to be able to reboot and start the service remotely. Is there any way I can start it remotely, but then later monitor the output of the console if the remote(putty) is closed?