We were in a Standard Inside on the Fantasy, which has the same stateroom layouts as the Dream. Our room had a normal-sized closet to hang a few things (I believe it had 3 closet doors) - the life vests are kept on the top shelves so you have the bottom to store shoes/bathing suits/etc. as well. There are only 3 small drawers in the vanity area - which we used for my cosmetics and t shirts. We found the storage ottoman to be useful for pants or purchased souvenirs. It was 'comfortable', for us 2 adults for a week - but it's definitely doable!
I believe the post above me is a Deluxe Inside, which has more storage - ours had a vanity about half that size.