Panasonic LX100 II has a 17.0MP Four Thirds (17.3 x 13 mm ) sized CMOS sensor and features Venus Engine processor. On the other hand, Panasonic G9 has a 20.0MP Four Thirds (17.3 x 13 mm ) sized CMOS sensor .
Another difference between these two cameras is that Panasonic G9's sensor lacks anti-alias (Low-Pass) filter. Removing anti-alias filter increases the sharpness and level of detail but at the same time, it increases the chance of moire occurring in certain scenes.
Below you can see the LX100 II and G9 sensor size comparison.
Panasonic LX100 II and Panasonic G9 have sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture. On the other hand, since Panasonic LX100 II has 19% larger pixel area compared to Panasonic G9, it has potential to collect more light on pixel level hence have less noise in low light / High ISO images.