will lulu copyright my book if i add a copyright page
You can find out everything you need to know about copyrights here: http://www.copyright.gov/
including how to go about registering your book.
As DysonLogos pointed out, your book is, as the USCO says, "under copyright protection the moment it is created and fixed in a tangible form that it is perceptible either directly or with the aid of a machine or device."
However, it goes on to say that "you will have to register, however, if you wish to bring a lawsuit for infringement of a U.S. work....Registration is recommended for a number of reasons. Many choose to register their works because they wish to have the facts of their copyright on the public record and have a certificate of registration. Registered works may be eligible for statutory damages and attorney's fees in successful litigation. Finally, if registration occurs within 5 years of publication, it is considered prima facie evidence in a court of law."