Nikon 1 J5 has a Nikon 1 lens mount and currently there are 13 native lenses available for this mount.
Nikon 1 J5 doesn't have a sensor based image stabilization system but 7 of these lenses already comes with optical image stabilization.
Since Nikon 1 J5 has a 1 inch Sensor sensor, it has a focal length multiplier of 2.7x so you have to multiply lenses original focal length with this multiplier to find the Full Frame equivalent focal length of the lens when mounted on J5.
You may also also be interested in these:
Nikon 1 J5 Lenses with Image Stabilization
Nikon 1 J5 Lenses with Weather Sealings