You can help yourself feel better within 24 hours of a cold but there's not too much you can do to fully recover from the common cold virus in only 24 hours.
However when you have a cold you should increase your Vitamin C intake and stay hydrated by drinking plenty of water as the water and vitamin C will help flush your body of viruses and the Vitamin C will boost your immune system to help fight off the cold virus.
Also using a humidifier in your home and getting plenty of rest can help with a cold virus.
You should also try going outside for awhile when you can as the fresh air will help because when you're stuck inside the house all the time the viruses are hanging around which can make you take longer to get over the cold virus.
Also if the weather is warm enough you should open windows to allow fresh air in and take some cough drops to help with the cold.
Other than that there's not too much else you can do to get rid of the cold because there's really no exact cure for the common cold.