Your all code (business logic) is already there is your web application classes. You will copy paste same code in webmethod that are now exposed as webservice.
You can create different project for webservice or you can convert the same project. You have to add dependency for rest and little changes in that..
Better you create new project with springboot and reuse that code in this..
In webservice except html or jsp you will return json and some annotation will change. that you can check how write basic rest service. Use of spring boot will be easy and fast.