I owe back taxes. I am a full time student. My only income is Montgomery GI bill money, which is not taxable and student loans. Can the IRS take this money?

Maybe!

It depends on whether you can show that the GI Bill money is essential to mantaining your standard of living.

HOW MUCH do you owe in back taxes?

Have you talked to the IRS about putting the tax collection actions in abeyance until you complete your schooling, then setting up a payment plan?