Ricoh GR II has a 16.0MP APS-C (23.7 x 15.7 mm ) sized CMOS sensor and features GR Engine V processor. On the other hand, Ricoh GR III has a 24.0MP APS-C (23.5 x 15.6 mm ) sized CMOS sensor .
Ricoh GR III's sensor provides 8MP more than Ricoh GR II's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
One other difference between these two cameras that is worth mentioning is that Ricoh GR III's sensor doesn't have an 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 GR II and GR III sensor size comparison.
Ricoh GR II and Ricoh GR III 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.