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It's not quite that simple. The printers will actually arrange the pages to print so they can be bound into a book (imposition). So if there was a bleed, it wouldn't be from a left-hand page to its following right-hand page, but might be from e.g. page 4 to 13.
The 'gap' between bound pages (which is hidden in the binding, or is cut off in perfect binding) is a 'gutter' - although that has more than one meaning. You should generally bleed an image into the gutter to prevent white space at the spine in the finished book. Printers should prevent this from actually bleeding to another page as part of pre-press.
Check with your printers though....
It's for a book. So the image shown is the left hand page, and the right hand page below is white with text. Spoke with a mate who has assured me it's right.
Fuck knows.