1.
If you tell someone to ~, you are telling them do something more quickly than they were doing.
Franklin told Howe to ~ and take his bath; otherwise, they’d miss their train...
Hurry up with that coffee, will you.
PHRASAL VERB: V P, V P with n
2.
If you hurry something up or hurry it along, you make it happen faster or sooner than it would otherwise have done.
...if you want to ~ the application process...
Petter saw no reason to hurry the divorce along.
= speed up
PHRASAL VERB: V P n (not pron), V n P