I am a 23 year old female. I was wondering if it was normal for my urine stream to be very strong?

Not necessarily. As long as you have no burning when urinating or have red color (blood?) or other dark color or frequency of urination I see no need to be overly concerned. If you do have any of the above, make an appointment with your family physician. If by "strong" you mean malodorous it could be from the food you eat like asparagus.