Panasonic G7 has a Micro Four Thirds lens mount and currently there are 116 native lenses available for this mount.
Panasonic G7 doesn't have a sensor based image stabilization system but 31 of these lenses already comes with optical image stabilization.
Since Panasonic G7 has a Four Thirds sensor, it has a focal length multiplier of 2x 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 G7.
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Panasonic G7 Lenses with Image Stabilization
Panasonic G7 Lenses with Weather Sealings