That just means that if a woman has a history of cervical cancer in her family, she's more likely to develop the disease herself compared to those who don't have close female relatives with cervical cancer.
It doesn't mean a woman will develop cancer, or is even likely to do so. Just that compared to others, her risk may be greater. However, cervical cancer is still preventable in virtually every case, and this means having regular Pap tests and, if appropriate and health care provider recommended, HPV tests.
What are some of the family factors? Researchers aren't entirely sure; it may be that like some other conditions, cervical cancer just tends to run more often in some families. Also, there are lifestyle/enviromental factors; for example, smoking can play a role, as can some inflammatory conditions (STDs like chlamydia). Some families are in social or economic conditions that make such factors more likely to be an issue for them.
Read more on the website of the American Cancer Society at http://www.cancer.org/docroot/CRI/conte ... ncer_8.asp