Is it normal that my baby doesn't stop crying?

No. I believe that a crying baby is telling us that something is bothering them, whether it is gas, acid reflux or other stuff. A careful history usually can determine the cause, which then can be corrected.
Yes. Unfortunately, up to 4 hours in a row is expected for a colicky baby. Colics are less common in breast fed babies (forgot to add that to the "advantages of breast feeding" answer!), and the only thing I found that works consistently is a car ride (with the baby, not away from her!).