Q: "A gray dog climbs up a slanted tree." Does this mean that "A dog makes his way up the trunk of a tree."?
A: yes

Q: "A man in hiking gear, walking across a shallow waterfall." Does this mean that "A man is walking across a shallow waterfall with his son."?
A: it is not possible to tell

Q: "An elderly woman wearing a blue hat is sitting on the sidewalk chopping something yellow on a board beside her." Does this mean that "The woman is sitting down."?
A: yes

Q: "A beautiful day to lay by the Ocean, waiting for the waves." Does this mean that "A person jumps in the water while someone is laying down nearby."?
A:
it is not possible to tell