A recent post at Snopes (which is the premiere hoax-debunking website) covers the increasing "free government grant" scam, currently being perpetrated through web ads, e-mails, and even direct phone calls. (Unfortunately, while Snopes is a great source of information, it may also spawn two "pop-under" ads on your computer. These can be harmlessly closed using the X in the upper right-hand corner.)
The federal government has an official website for all federal grant applications, and there they take pains to explain that they do not offer ANY grants for personal financial assistance or debt. (There are a few grants available to individuals in addition to organizations, but they're for specific types of research, projects, etc.) Their page describing who is eligible for grants offers links to various organizations that do provide financial assistance, and also to the alphabetical list of all government benefits and financial aid programs.
At the Library, we have bought some books that may contain such phrases as "free money" in their titles, but frankly, the titles are pretty misleading. By free money, they mean bargains, discounts, and the financial aid programs linked above.