What will the military do to service members who will not get the vaccine?

I am over 60, have some health conditions, and I received my vaccination in early March as soon as I could get mine at the VA (there was a shortage in my area). I have had no ill effects except a sore arm. My arm was more sore receiving a tetanus shot. President Trump received his shot in January. I don't understand the aversion to the vaccine.

Here is a link to provide some guidance on exemptions to lawful vaccine orders. Keep in mind, Commanders have the ability to use UCMJ, if necessary, including court-martial. They can also provide the vaccine by force and then process the UCMJ charge, so chose carefully.
The flu vaccine was a common point of concern prior to Covid and you can find this on RP if you search for them.
When I was on active duty the Anthrax shot had lots of 'unexpected outcomes'. I had no problems with it, but some people did and were treated for bad reactions, but no life threatening outcomes. I view any vaccine the military provides, as the service owes me medical care, if I ever have a bad reaction.
I have had 40+ shots from 1986 - 2017 from Gulf War, Europe, Japan, Africa, OEF and OIF. I have had preventative medications for malaria that made for vibrant dreams and other medications that created odd memory issues that went away after I stopped taking it.
Bottom line is trust and integrity of our health officials are to do the right thing for service members. We must trust that all people are trying to do the right thing, if some problems show up later the military system or the VA system will handle it.
https://www.health.mil/Military-Health-Topics/Health-Readiness/Immunization-Healthcare/Clinical-Consultation-Services/Exemption-Guidance

Right now, nothing punitive if that is what you are meaning. Only thing happening is folks are being told to wear a mask. DoD has not stated the shot(s) being mandatory. Until then, kind of a moot argument.