Wikipedia:
The flush cockpit means that the long and pointed nose-cone will obstruct all forward vision. The X-59 will use an enhanced flight vision system (EVS), consisting of a forward 4K camera with a 33° by 19° angle of view, which will compensate for the lack of forward visibility.
Regular aircraft equipped for IFR can't safely land with zero forward visibility. The pilot has to be able to see the runway for the final touchdown and roll out. Only a few aircraft and airports are able to do Category IIIC precision landings.
In an emergency you do whatever you have to in order to preserve safety and lives.
No idea if the procedure here would be use a backup camera, try to land on ILS, or eject/bail out (if equipped). Presumably they've thought of that and it's in the "emergency procedures" section of the flight manual.
Wikipedia: The flush cockpit means that the long and pointed nose-cone will obstruct all forward vision. The X-59 will use an enhanced flight vision system (EVS), consisting of a forward 4K camera with a 33° by 19° angle of view, which will compensate for the lack of forward visibility.