Hi,
Currently, in the CICP part, there is no guideline which can tell how to use CICP to connect to Google Analytics. Also the CICP is a Beta product (open to changes and improvements). I would recommend you to open a Feature Request [1] where you will be able to provide any additional details along with the use case.
Also you can ask the question on the Analytics Help [2] to see if they can help you answer your query.
[2] https://support.google.com/analytics/?hl=en#topic=3544906