Cool water is better than cold. (Ice and very cold water can do more damage to the injured tissue.) Also, don't put anything on it that will seal in the heat, (butter, thick creams, etc.). It's best to just use cool water soaks and some aloe in between. If it blisters, that's a second degree burn and an antibacterial cream will help after you've done a few cool soaks. If it looks waxy white or has a leathery look/texture, that's a third degree burn and you should see a doctor.
I hope this helps and you feel better soon. :D