Java serialization is implemented internally by the JRE itself. You don't need to do anything special, other than marking your application class as implementing Serializable interface. If at all you want to customize serialization of your class, add two methods - writeObject() and readObject() - to your class.
It's extremely rare for web apps to store data in java serialization format. More commonly, object fields are persisted into databases or to XMLs. There are different APIs for doing both - you don't need java serialization for them.
This probably isn't directly related to your question, but you may run into problems if you put objects into an HttpSession that are not Serializable. That's generally the most you need to know about serialization and web apps.
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