The distribution of GRC is based on how much work you volunteer to the BOINC network, where you can run a number of different projects. The organizations in itself has nothing to do with GRC and is fully decentralized. The network bases the daily distribution of coins on a factor of "Recent Average Credit" for each project. The organizations benefits from the work done to uphold the network.
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Adding to @sc-steemit's answer - Organizations benefit from these science-focused cryptocurrencies as they drive new users to volunteer for these distributed computing projects.
Gridcoin for example has become the #1 BOINC team for active BOINC computation: http://boincstats.com/en/stats/-5/team/list/16/0#1