Hi JTessler! Welcome to the DIS!
Congratulations on your upcoming wedding and honeymoon!
It's kind of hard to answer your question because the "extras" depend so much on the cast members you come in contact with.
One thing you should do is make sure that the cast members know it is your honeymoon. Did you mention it when making your reservations and meal plans (ADR's)? If not, you can always call them back and let them know!
You can also purchase the "wedding ears". The groom ears are a top hat and the bride ears are a headband with a small veil. Wearing these can get you lots of attention (from guests and CM's alike). You never know when you might get some extra pixie dust!
Also, if you go to guest relations in the parks you can ask for the honeymoon pins (they're FREE!). Wear them and they can bring attention too.
What people have gotten varies greatly from a free drink, a "ride" to yourselves (i.e. your own boat on PotC or Small World), free desserts, a room upgrade, to heartfelt congratulations and good wishes.
Keep your expectations low and let the surprises come to you!