Grab local session through Remote Desktop on Windows Server 2003?

I've left some software running on my Windows 2003 Server Std. I'd like to
connect to this machine using Remote Desktop and see the progress of these
programs.

Is it possible to take a session that was started locally and connect to
that desktop over the internet or LAN with RDP?

Grab local session through Remote Desktop on Windows Server 2003?

mstsc /v:%machine_name% /console

will allow you to connect to the locally logged on user session.

At a command prompt type mstsc /? for more switches.