There are different ways to access msOS console remotely from the dashboard.
When you are in the same local network as your rig, you will be able to access msOS GUI by opening the local IP of your rig in your browser. You can find it on your worker's details page or by opening http://YOUR_LOCAL_IP or http://YOUR_WORKER_NAME.local.

A msOS local GUI will open where you can find basic commands or navigate to local console. If you want to access local console directly, add port 4200 after your worker's local IP: http://YOUR_LOCAL_IP:4200. You will be automatically logined to the console if you are using default username and password (minerstat/msos).
Clicking on the remote IP from your worker's details page will give you a remote access to your rig.

By clicking on the specs icon beside IPs list, a popup with detailed system specifications will open. There will be also a recent snapshot displayed, which you can re-take every 10 seconds.

You can also login to your rig via SSH access. Your msOS console login credentials are minerstat as a username and msos as a password. The command to connect via SSH is ssh minerstat@YOUR_RIG_IP.
Once you are logged in, you can enter mhelp to see all available commands. To see the mining client's output enter agent or miner.