I doubt that. G3 is at F2, so you need ISO800 on G11. BUT, ISO400 on G3 is ISO640 on G11.Most significantly though - I suspect that the G11's 'AUTO' mode has automatically applied a degree of 'i-contrast' which has lifted the shadows quite significantly, and helped to separate otherwise dark tones - however, it might be slightly overdone and has flattened the contrast perhaps a little too much for some's taste.
The higher ISO1250 of the G11 has enabled a faster shutter speed of 1/20 sec, so there is less motion blur from some of the subjects, and the cameras 'IS' eliminates camera shake - the G3 is probably limiting at ISO400 or below, allowing only 1/8 sec and there is some motion blur/camera shake.
However, ISO1250 deploys quite a bit of 'noise reduction' which does contribute to a softer image (along with the 'AUTO's i-contrast') - I've no doubt that the same G11 shot, taken at the same ISO400 as the G3 shot, would be better (less soft, and a bit more colour saturation).
My guess is that first shot with G3 is at ISO100