Yes, STO now has ship interiors. I saw my ready room. I put up ship trophies, right up on the shelf. I saw Sick Bay. I saw the Warp Core. I saw my very own spacious quarters. Doors slid open at my approach, just like in the TV show.
Did I mention I saw the Warp Core?
Ok, granted you can't really do much in it yet. But it's more than just a Bridge. And I can invite friends over for a mug of Romulan Ale.
Did I mention I saw the Warp Core?
Yes, but did you see the Warp C...oh...nevermind.