Drink LOTS of liquids. The burns draw fluids to the skin's surface, leaving the rest of your body thirsty and dehydrated. So be sure to lots of water.
Repeatedly apply non-petroleum, moisturizing lotion while you skin is damp. This will keep you skin moist for several days and prevent it from drying out. Avoid petroleum lotions because they trap heat and make the burn worse.
You can also apply a lotion, spray, or ointment that has 1% hydrocortisone. It is a topical steroid that can soothe skin irritation, pain, and swelling.
Raw potatoes (and potato juice) are also sometimes recommended as quick home remedies for a burn. Potatoes have starch-based compounds that could help provide some temporary relief for the pain and reduce the stinging.
Another popular folk remedy for burns is to sprinkle baking soda into lukewarm bathwater. The baking soda dissolved in water can create a "cooling sensation" on the skin by drawing some of the heat out of the burn. However, it is important to remember that this will only provide temporary relief and is unlikely to relieve the pain for any significant period of time.
And... if you have to, go see a doctor. This is necessary when you have severe blistering over a large portion of your body, or if you get a fever, chills, or feel woozy and confused.