History of Ovarian Cancer?

If you get a full hysterectomy, including ovaries, you will go straight into menopause.

Some ovarian cancer can have a genetic basis. (The same BRCA gene that is known for increasing the risk of breast cancer can also increase the risk of ovarian cancer.)

However, most ovarian cancer is NOT genetic, and you are at no more risk for it than any other woman. As Takarri said, removing your ovaries, especially at such a young age has its own health risks, and if you are BRCA negative (easy to test) and have no other close relatives with OC, the risk vs. benefit ratio is unlikely to be in favor of elective surgery for this reason.

My mother died of a ovarian cancer

I am 76 and never had any problem with my ovaries

NOTE also she had 3 sisters and none of them had ovarian cancer

so its not genetic like they say

A hysterectomy removes your uterus.

An oophorectomy removes your ovaries.

This is something you would need to discuss with your doctor as you may find the side effects more of a risk than benefit.

Has it been established that your mother's cancer was linked to an inheritable defect? Have you undergone genetic testing to see if you have inherited it? Without that being established then the side effects of the oopherectomy could be far more detrimental than beneficial.