Generally, there are two basic types.
One is that the widow or widower is entitled to a continuing pension if his or her spouse had been in receipt of a government pension from Veterans Affairs. A percentage of that pension would continue for the spouse. That's one benefit they receive.
Secondly, if the spouse was receiving the veterans independence program before he or she died, the widow or widower would be entitled to continue with whatever service the veteran was receiving, either groundskeeping or housekeeping, or both.
Those are the two benefits of spouses.