Path Tracer - sampling dimensions confusion
Only one path per sample.

If you had 64 bounces per first hit and 64 per second hit and so forth you'd never get an image.

Edit: And that's why you need to sample each pixel so many times (easily more than 1024 samples) in order to get it to converge, ie get rid of the noise.

As per 2) (from comment below) The 64 primary rays will not hit the same object in the same spot so you will have to calculate everything for each sample.