If someone in the US military is wounded in combat (or at all, while enlisted), does the VA Hospital not pay for their care and rehabilitation?

Locally, there are some fundraisers I heard about for a US soldier that was wounded in Afghanistan. The fundraisers are supposed to be for his medical care, which the family says will be very expensive.

I am totally for supporting the soldier and the US military and what they do, and am considering attending one of the fundraisers.

However, I was confused when I heard that the soldier’s medical care will be expensive, because I would have thought that the military would pay for the man’s rehabilitation, no matter how expensive or extensive.

Does the Veterans’ Administration not pay for the all of the wounded veterans’ medical and rehabilitative care? Or do they only pay part of it?

(If not, I think it’s terrible that it’s not 100% paid for, since all wounded vets gave their health and well being for the government and it’s mission, but that’s my opinion)