Try searching for Grants for GED Students. Here is one site that came up: http://hubpages.com/hub/-Grants-For-GED-Students
I really don't think there is a grant for a GED. But I just went in and took the test. I don't think it cost much at all. If you think you need classes, you might want to find out if you can take free classes somewhere. I think there are programs that offer them.