catch up

verbs

reach the point where one should be after a delay
"I caught up on my homework"
entails
to travel behind, go after, come after
"The ducklings followed their mother around the pond"; "Please follow the guide through the museum"
is a type of (narrower)
reach a destination, either real or abstract
"We hit Detroit by noon"; "The water reached the doorstep"; "We barely made it to the finish line"; "I have to hit the MAC machine before the weekend starts"
learn belatedly; find out about something after it happened
"I'm trying to catch up with the latest developments in molecular biology"
is a type of (narrower)
gain knowledge or skills
"She learned dancing from her sister"; "I learned Sanskrit"; "Children acquire language at an amazing rate"