I don't understand something, you mean the base there does not reissue uniforms,boots and coats?
Short answer: Not exactly.
Soldiers don't go naked at the hospital, but they aren't issued a full complement of either new gear or everything they would like for their personal comfort while recouperating, either.
When soldiers arrive there, they are basically brought in with what they were wearing on the battlefield when they were wounded -- whatever bloody uniform they were wearing and damn little else. They'll get hospital gowns, and maybe scrubs & such. When they move to the convalescence barracks, they'll probably get a replacement uniform or two and maybe PT gear. Since all the rest of their gear is still issued to them (even if it's still in Iraq) it isn't replaced.
As for toiletries -- they probably get the absolute basics on an as-needed basis while admitted to the hospital itself. Soldiers are responsible for buying such items for themselves, even in a war zone (they get a $3.50/day allowance for that kind of subsistence stuff when deployed). Most guys don't have that stuff in their pockets when they get shot on the battlefield, so when they move to the convalescence barracks, they either have to buy it at the hospital PX, or to have it donated by good folks like those in this story. If their mobility keeps them from getting to the PX, they rely entirely on others to help them get it, or donate it, for them. If they want something besides scrubs to wear and can't leave the hospital, they rely on the charity or legwork of others.
The same thing happens at Walter Reed, thought to a lesser extent.