As a viewer, a newly one I might add, I personally don't expect any dragons soon. My impression is that those zombies behind the wall will be a focus, rather than the dragons. Why else is she cleaning out one city after the other in a rather slow pace. Even considering that they point out every 5 minutes that those dragons grow fast.
By the way, I noticed that we actually have the books in my house
I skipped 1-5 and now started with 6 which seems to be a bit earlier than show is right now. Dany being at Yunakai'i right now where I am reading and Robert's smithing bastard not even being shipped off. It seems they changed the order a bit in the show compared to the books...
But... I have some problems with all the names in the book. So many more characters and their names...