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.
What is the scope of your backing bean for Page1? If it is in session scope, you can simply access the textfield in Page2 the same way you are accessing it on Page1. If the scope is request and if you are using MyFaces implementation, check out the t:saveState tag on MyFaces Wiki page.