This week's book giveaway is in the OCAJP 8 forum. We're giving away four copies of OCA Java SE 8 Programmer I Study Guide and have Edward Finegan & Robert Liguori on-line! See this thread for details.
You can certainly inject EntityManager into your bean class and not bother with a DAO. The counter argument is that the DAO is still needed as it provides a single interface to the client by encapsulating data access logic.
If you will go with the DAO option ... your bean method will obtain an instance of the DAO class (possibly via a factory) and invoke the DAO method.