If so how is it configured please.
Enable Secure Channels with SSL.
are there any other security benefits that securing the web console provides?
- You are sure the server you are connecting to is your server and not a server installed by someone else to e.g gather passwords because your browser is checking the server's certificate. - Phishing scenario-
- If you run a inventory report on the web console, someone that sniff the packets can display the results by extracting the files from the trace. He would not even need to connect to the web console to have this information. (http://sourceforge.net/projects/networkminer/)