I met with a structure of this type many times during last days, so I wonder:
What is the meaning of "[verb] 一 [verb]"?
Duplication of words is very common in Chinese. It doesn't have much grammatical meaning but it adds a little emphasis.
Sometimes, especially for Chinese spoken in Singapore (my native tongue), the order [verb][verb][particle] is used more often for better cohesion.
For example: 让我想想一下吧! （Usually 让我想一想吧!）--> Please let me think for a moment. 你的伤这么严重，让我看看！(Usually 你的伤这么严重，让我看一看!) --> Your injury is very serious, let me see.