I don't have any experience with Solaris, but here are three potential options I can think of:
There's an Application class property called User or something similar (which I believe should be available in 7.0) which returns the name of the current user. I don't remember if this is the OS user, or just the LabVIEW user, though.
There's a VI in the palettes called System Exec, which I assume should allow you to run shell commands.
In Windows, you can make a DLL call using the Call Library Function node to call into the Windows API. If Solaris has a similar API accessible through SOs, I assume you should be able to use it using the same method.