The easiest, most uncomplicated way is to exit the International Gateway, go over towards the Boardwalk, walk the entire length of the Boardwalk, make a left after Jellyrolls and there's the start of the path.
The shortcut would be to get to the middle of the Boardwalk, where the surrey bike rental is. Make a left and go through the "alley" next to the art gallery. That leads back to the Luna Pool. Go across the pool area. At the other side is the back of the Boardwalk and the pathway.
It's not a hugely marked walkway but it you are on the back side of the Boardwalk, it's the walkway right along the canal. The Swan will be across the canal.