A lot of similar information will be available using programs from the pstools suite. I'm a Unix user myself, so familiar with ssh and the normal GNU system tools, however when forced to use Windows I usually find pstools enough for my needs. It has a remote execution tool (psexec) as well as analogues of many of the stand GNU utils (pskill, pslist, psloggedon). psinfo will also be useful. All the tools work remotely through a rather neat hack that means you don't have to install anything on the machine you're interested in querying. Be aware that it's just system information stuff - if you're looking to do text-processing of the output you'll probably still want GNU's text utils (i.e. grep, sed, awk etc) or Perl.
http://technet.microsoft.com/en-us/sysinternals/bb896649.aspx for Pstools. In fact given what you're doing I'd suggest getting the entire Sysinternals suite. Despite (now) being Microsoft owned, the tools follow the Unix philosophy of doing one and doing it well.
However the 'client' side, that is, your machine which is sending the remote query needs to be Windows as well, though I suppose there's nothing to stop you sshing from a Linux/Unix machine to a Windows machine that has the pstools installed.
I'd also imagine that someone somewhere has experimented with remote monitoring using powershell, which you might find worth Googling for, if you're prepared to fight powershell's rather braindead design.
