Kim, the game project used to be an everyday giveaway, but the game market is so tight, with so many competing sites giving away free (though sometimes with ride along adds) or discounted games that GGOTD simple could find enough developers to sustain a daily giveaway. So the project's now only on the weekends.
On the other hand, this forum contains some free game gurus - like our esteemed whiterabbit and his crack helpers, including our wizzardofoz - who post a free game they've found somewhere on the web EVERYDAY. In fact, they've been doing so for the last 61 weeks. (!) Plus, our loyal game freak members post any free or discounted games they can find on these pages, so our archives our filled with more games than you could possibly play.
A good place to start, besides the currently posted ones, would be with the sticky topic posted near the top: "Free Weekday Game Synopsis". That one was closed 10 months ago, but has links to probably a hundred games, almost all of which should still be good.
Welcome to the forums, have fun, and don't be a stranger!