Yes that is exactly right. Content is pulled directly from the blockchain so it will show on your website right away (future themes will have the option to show only certain hashtags and customise in other ways ). Comments/votes work both ways using FinallyComments if a user votes or comment on your website it will show on Steemit(plus any other Steem app) and vice versa if a user votes/comments on Steemit it will show on your website.