Congratulations! Getting those documents is a wonderful start to the trip. Jeans and T-shirts should be OK during the day. You'll be off the ship, I"m guessing, most of the days anyway.
We found walking through the old town of Stockholm very interesting as well as visiting the VASA museum. Things slow down in Stockholm in July (it's their vacation month) so certain restaurants may be closed. The ICE bar at the Nordic hotel was fun. It was new when we were thre so bookings were required. I don't know if that's still the case.
Enjoy! It's a lovely trip and very port intensive. We were tired and thrilled at the end of the trip.
Cheers, Anne