Does Membership Plugin Work Across a Multisite?

I am setting up a multisite and installed the Membership plugin. Configured on my main domain.

I am wondering on a multisite does the membership plugin need to be installed on the other sub-domains (sites) in order to protect content?

If so is there a way to automatically allow users from one mulisite registration be registered on the on sites as well or is this done manually.

Thanks for the assistance.