I have set up my REST service and it works fine. This is the response that I get from the service is shown in the figure:
How can I parse this type of request in my WPF application?
The response you have there is seemingly an XML structure that contains publisher information. As for parsing it you have a number of options however all of these require/prefer you to have the schema for the resulting XML.
Personally, I would use option 1 - It does require a schema (the other options don't technically need one) but it does give you objects which IMHO are much easier to maintain and use than xpath/linq queries.
It is also worth mentioning that depending on how the service reference was added to the client (and how the service exposes itself) you may already have this XML class bound into the client service reference. As an example you service reference in the client may allow you to do this:
PublisherInfo pi = myServiceClient.GetPublisherInfo();
In which case all the conversion from XML to PublisherInfo is handled for you. I am guessing that the sample XML above was obtain by calling the service in a browser, therefore the conversion to PublisherInfo obviously doesn't happen as this would occur within the client code.