Unfortunately - there is no additional socila security benefits for veterans...
Sorry if you expected differently.
How you become eligible for Social Security
As you work and pay taxes, you earn Social Security “credits.” In 2015, you earn one credit for each $1,220 in earnings—up to a maximum of four credits a year. The amount of money needed to earn one credit usually goes up every year.
Most people need 40 credits (10 years of work) to qualify for benefits. Younger people need fewer credits to be eligible for disability benefits or for their family members to be eligible for survivors benefits when the worker dies.
Many people wonder how we figure their Social Security retirement benefit. We base Social Security benefits on your lifetime earnings. We adjust or “index” your actual earnings to account for changes in average wages since the year the earnings were received. Then Social Security calculates your average indexed monthly earnings
during the 35 years in which you earned the most. We apply a formula to these earnings and arrive at your basic benefit, or “primary insurance amount.” This is how much you would receive at your full retirement age—65 or older, depending on your date of birth.
As we see - there is no additional social security benefits for veterans.
However if you are low income - you might look for Supplemental Security Income (SSI) program
If you get Social Security benefits, but have limited income and resources (things you own), SSI may be able to help. SSI financing comes from general revenues, not Social Security taxes.
SSI makes monthly payments to people who are age 65 or older or who are blind or disabled. We don’t count some of your income and some of your resources when we decide whether you’re eligible for SSI. Your house and your car, for example, usually don’t count as resources.
Let me know if you need any clarification this matter.