If my mother had a c-section, will I need one?

Great question. Depending on the reason for your mother's c-section, you may be at increased risk (e.g. Short stature, obesity, poor fetal growth), as some traits are inherited. Of course, with a ~40% c-section rate nationally, you may not need any maternal influence to deliver abdominally!
No. Just because your mother had a c-section does not mean you will have one. This is not something that is "passed down" from your mom.