"Java Persistence with Hibernate" is "Hibernate in Action" second edition.
I suggest that
you should start studying Spring with "Spring in Action" because it also covers ORM and it has a dedicated part to Hibernate too. After you're familiar with what Spring is all about (IOC, AOP, DAO, ORM, etc) and you feel like you need to dig deeper into Hibernate you could grab one of the previously mentioned books.
Personally I think that the most important thing right now is to understand what ORM is and to learn that Hibernate is just one (one of the good ones if not the best IMHO) framework from many.
You also have to understand the key concepts and why is a good practice to program to interfaces, AOP etc, because Spring is not the only framework that does this. It is doing it really well no doubt about it, what I am saying that it is best to know what it does and after that how it is doing it. Spring in Action covers all these aspects, so go for it.
Regards,
Tamas