1. To move faster. In this usage, the phrase is often used as an imperative. Hurry on, kids, lunch is getting cold! Would you hurry on already? I'd like to get to the concert before it's over.

2. To cause someone or something to move faster. In this usage, a noun or pronoun can be used between "hurry" and "on." Can you hurry the kids on? Lunch is getting cold. Any chance we can hurry on this meeting? I have dinner reservations.