You probably don’t need a binding for something like this. Take a look at Comprehensive Wunderground using HTTP Binding Example and see if something like that would work for you. It polls Wunderground and parses out the data from the returned JSON to populate various OH Items.
If you want to push the data rather than poll for it, you will need to make changes to your server that generates the JSON to publish the data in some way. One of the easiest ways would be to post the JSON to an OH Item using OH’s REST API and write a Rule to parse out and update Items as appropriate.
Especially if you are not super familiar with OH and/or Java programming, doing the above will be WAY less work.
You can learn and experiment with the OH REST API through the REST API Docs which not only documente the API but let you exercise and test the REST API right from the docs. You can install it from the Misc tab in Add ons in PaperUI.