Occasionally my site gets links directly to a sub-section of a page via a named anchor, e.g. /mypage.html#section1
Does Google give this link equal weight as a link to /mypage.html?
It doesn't affect the rankings. That only helps the browser identify a portion of the page so it can properly display it when the page loads.
(If Google ever starts ranking portions of pages then it might come into play but for now that's just fun stuff to think about).