This is actually quite complicated. Al-Jawziyya is the name of a school his father was an attendant (qayyim) at.
The idhaafah of qayyim toward the school is what we read in HN as idhaafah lafdhiyyah. It does not give benefit of ta'reef or takhsees. Therefore adding the "Al' to the word qayyim in this case is valid. The translation is:
Son of the one who took care of Al-Jawziyya!
Ibn Qayyim Al-Jawziyya - Wikipedia, the free encyclopedia