How can I get a grant for my GED I am a single mother with no income help please.

Single mothers can apply for welfare and food stamps and housing assistance and various child health programs.
There are many ways to get help with a GED, but not 'grants' for living expenses, only any fees associated with the course.
Try the Education Connection online or call the high school nearest to you for the GED course nearest to you. There are various online GED courses, but first you have to get the materials and fees paid for. Answer back if you hit a snag.