Sony NEX-7 has a Sony E lens mount and currently there are 146 native lenses available for this mount.
Sony NEX-7 doesn't have a sensor based image stabilization system but 32 of these lenses already comes with optical image stabilization.
Since Sony NEX-7 has a APS-C sensor, it has a focal length multiplier of 1.5× 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 NEX-7.
You may also also be interested in these:
Sony NEX-7 Lenses with Image Stabilization
Sony NEX-7 Lenses with Weather Sealings