One of the unique things that occur is the background music that plays as you are inside of your house or inside of your barns will change.
Every morning your spouse will pack you a lunch. You can also talk to the person and ask them to do some of the farm work. Another option is to have your spouse follow you around when you're walking about outside, just like you can with the wild animal pets; blowing the Animal Whistle won't make your spouse do a trick though. Taking a walk with your spouse will help to increase his/her affection.
If you want to have him/her work on the farm, you have several options to select from:
Harvesting
Picking weeds
Watering crops
Brushing the animals
Milking
Egg and Silk collecting
Mining
Fishing
Work must be selected between 6:00 am and 7:00 am.
The Harvest King and Harvest Goddess are exceptions to this; since the two celestial beings will not live in your house after marriage, they will not be there to make you a daily lunchbox or be available for chores.
It is your birthday!
After you are married you will finally get the chance to celebrate your birthday with your family instead of with the villagers. Go into your house after 6:00 pm to have a little party with your spouse (and any children you might also have at the time). Your spouse will also give you a birthday present, although it won't be anything spectacular; it's the thought that counts after all.
When your party is over you'll return back to your house at midnight.
Your spouse's birthday can also be a special celebration. You can either wait until after 6pm to go inside your house, or give them a gift to start the birthday event. If you start the spouse's birthday event in the morning, the entire day is set aside for the birthday meal and it will end at midnight.