How can I get the data from LocalStorage of a Chrome extension using Python?

I am using TimeStats extension on Chrome. And what I want to do now is to read the data in the LocalStorage (which contains all the information about the time I spent on each website) in a Python script and do later data processing.

I know that Ctrl+c and Ctrl+v would work in this case, but I am wondering are there any elegent and reliable ways to do that?

Thanks!