I have heard from clients of mine who have won their appeal hearings, that they receive their checks within a few weeks after the decision. Yes, they have received a lump sum for the entire amount claimed. But be aware that the losing party still has a right to appeal the adverse decision within 20 days of the mailing of the decision. It should not hold up payment of your benefits but if they win the appeal you may have to repay the benefits.
They say you get what you pay for, and this response is free, so take it for what it is worth. This is my opinion based on very limited information. My opinion should not be taken as legal advice. For true advice, we would require a confidential consultation where I would ask you questions and get your complete story. This is a public forum, so remember, nothing here is confidential. Nor am I your attorney. I do not know who you are and you have not hired me to provide any legal service. To do so would require us to meet and sign written retainer agreement. My responses are intended for general information only.