It means that money being linked to gold reserves there is less of it to circulate, therefore in theory it will result in the balanced or at least restricted budgets of neo-liberal lore and small government, ie nothing to bankroll military-keynesianism or a welfare state with.
Who benefits immediately from such a change? Well right away anyone who has bought up gold and has an interest in the ramping of the price of gold relative to other commodities like oil, then all the uber rich who dont like paying taxes, small government means they dont need to pay taxes, a lot of them are effectively on a complete dodge already but it'll be easier.
Who loses? Well, despite denying it, a lot of middle and small businesses would lose immediately, they might survive for a bit on savings from taxes but eventually without customers you go bust, then some of the larger stores and chains will experience a drop off in revenue, perhaps then the banks and financial sector, speculation will remain, perhaps even a lot of the trickery which constitutes profits without any tangible produce, such as short selling or trading and messing about with interest rates but it will experience a contraction too because neither business nor individual savers will have as much cash around.
Ultimately its hard to see how the hell it will all stack up without a massive reduction in the population, something malthusian, and that's why, despite the history of failures fiat currencies remain in use because its necessary, bitches, and discussing their abandonment because of internal contradictions is a little like commies talking about the higher phase of communism when money is obsolete and gift relationships reign because capitalism has disappeared like the dinos because of the internal contradictions of class war.