The software will be a tiny windows application (preferably win32), with no dependencies on any runtime libraries or so. Single .exe file only.
After the exe is started, the GUI will look similarly like at the screenshot (see below).
The application will be used as a 'redesigned' user interface for "Map Network Drive" feature in Windows, while the user will be able to either map a network drive (SMB share, WebDAV, etc) and also to list all mapped network drives, which are currently connected.
Optionally, only if Windows provide that information, the user could be able to see some statistics of pending operations or opened connections or so (third part of the screenshot).
Your source code will be released under GNU GPL. That means you are not permitted to use any code which is licensed using any more restrictive license, and your final product will be opensource, freely redistributable.