He said military hospitals, not the usual civie ones. However, the latest round of cuts to PLA personnel have resulted in many military hospitals being transferred to normal civilian administration.
I know he was saying military one. Military hospitals were open to civilian long time ago before the current cut since Xi became the president. Including the hospital (301) that is responsible for the top leaders. I say this because I visited doctors in 301 myself before Xi's reform and I saw many civilian patients.
In reality and fair comparison, PLA hospitals are no more special than a civilian hospital owned by a state institution. Hospital owned by the Petroleum ministry may provide favourable treatment to their own employees just like PLA counterparts to PLA servicemen, but also open to other civilians not in their employment so long as there is agreement with the local government for payment transfer. I am talking about pre-Xi period.
The different fees/costs applied is not because of privilege of social class (no perk), but because of tax funding, same as a Beijing resident has to pay higher surgery bills in Shanghai hospital if he/she is not taxed in Shanghai.