With Content Sync the default behavior of subscribing sites is to pull content automatically and to pull all references with it like taxonomy terms (tags, categories etc), paragraphs, bricks or media elements when you create a new Pull Flow.
Did you know? The pull behavior is not influenced by how you push content. You can automatically pull content whether it's been pushed automatically or manually- any combination is possible.
Access
Nothing to do! Content, media, tags or any other items that are set to be pulled automatically will show up on your site as soon as they're available to Content Sync.