CVI does not have any of this sort of functionality built into it, but I am sure using the Windows SDK, you can accomplish this task. Here are a couple of links that should be able to help you out.
Though I am not positive as to this function's existence (since I am not aware of every Windows API function) if it is an available function, it would be located in the Windows API for sure.
I am not exactly sure of what your end goal is in terms of "notifications", but there are several functions in LabWindows/CVI that work with the Windows System Tray.
LabWindows/CVI provides the functionality to install a
system tray icon. Refer to the trayicon shipping example in the
<CVI>\samples\toolbox\ directory.
You can use the the InstallSysTrayIcon function to install a
user-defined icon in the Windows System Tray. With this function, you can install a system tray icon, install a callback function that receives mouse events, add tooltip text, etc. You can even use the AttachTrayIconMenu and the InsertTrayIconMenuItem functions to attach a right-click pop-up menu to the icon.
These functions are located in the Programmers Toolbox (In the Library Tree, navigate to the path Libraries >> Programmers Toolbox >> User Interface Utilities >> System Tray Icons).