If using Joomla model for CB Blogs it will store all the blogs to Joomla content and its categories, which will use whatever access you have those Joomla categories set to within Joomlas content component. That'd be the easiest way to have what you're wanting without a more complex setup using CB Privacy.
Kyle (Krileon)
Community Builder Team Member
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My role here is to provide guidance and assistance. I cannot provide custom code for each custom requirement. Please do not inquire me about custom development.