Hey, I noticed you mentioned "I wouldn't mind getting a less lame name for the project, as well" on the front page. A few names just came to me: glink, gUnite, gjoin, gpool, or just 'Grasp'. Anyway it's a great project although it could use an interface lift. Keep up the good work!
how about just g-tray
How about Google Feeder? It does feed you what is happening in your Google World.
Though perhaps it is a little odd launching Google Feeder to catch up on Google Reader. : ) But not really.
Or, since it notifies you of stuff, simply "Bing!" (Ok, bad joke.)
It would likely be a very bad idea to use the word 'Google' in the name :)