Olympus E-M1 II has a 20.0MP Four Thirds (17.4 x 13 mm ) sized CMOS sensor and features TruePic VIII processor. On the other hand, Panasonic G95 has a 20.3MP Four Thirds (17.3 x 13 mm ) sized CMOS sensor and features Venus Engine processor.
Another difference between these two cameras is that Panasonic G95'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 E-M1 II and G95 sensor size comparison.
Olympus E-M1 II and Panasonic G95 have almost the same sensor size so none of them has any significant advantage over other in providing control over depth of field when used with same focal length and aperture.