Gore helped found Generation Investment Management, through which he and others pay for offsets. The firm invests the money in solar, wind and other projects that reduce energy consumption around the globe...
Gore is chairman of the firm and, presumably, draws an income or will make money as its investments prosper. In other words, he "buys" his "carbon offsets" from himself, through a transaction designed to boost his own investments and return a profit to himself. To be blunt, Gore doesn't buy "carbon offsets" through Generation Investment Management - he buys stocks.
To add insult to injury, Gore chose Peter S. Knight, an old friend and colleague some are sure to recall, as the US President of GIM.