Nikon D5 has a Nikon F lens mount and currently there are 286 native lenses available for this mount.
Nikon D5 doesn't have a sensor based image stabilization system but 55 of these lenses already comes with optical image stabilization.
Since Nikon D5 has a Full frame sensor, it has a focal length multiplier of 1x so lenses will provide their original focal length on D5.
You may also also be interested in these:
Nikon D5 Lenses with Image Stabilization
Nikon D5 Lenses with Weather Sealings