Your mother is fortunate to have you looking out for her!!
First of all, PUNLAMP (Papillary Urothelial Neoplasm of Low Malignant Potential) is probably the very best kind of bladder tumor to have. While it is cancer, it is very slow growing and not especially likely to progress. It is NOT life-threatening at this time. The usual protocol for this type of diagnosis is no treatment at all, but just exams by a urologist every three months for a while to be sure that there are no problems.
Your mother should be sure to have whatever exams the urologist recommends, however, since there is always a small chance that this could recur.
All the best to you both
Sara Anne