My daughter is in grad school, which I am paying for. is her level of school "College"?

Yes she is in college.

If what you mean is what level she is to determine what education credit to claim, here is some information about the credits available. 

The American Opportunity Tax Credit (AOTC) for the first four years of college when working towards a degree.

• Maximum credit is $2,500 per eligible student
• Must be enrolled at least half-time for at least one semester during the tax year at an eligible educational institution
• Up to $1,000 can be refunded to you

The Lifetime Learning Credit for undergraduate, graduate, and professional degree courses, including ones to improve job skills. This one has no limit on the number of years you can use it.

• Maximum credit is $2,000 per tax return
• Can be used when you're only taking one class at an eligible educational institution
• You don't need to be working toward a degree
• None of the credit is refundable

To read more about education credits see the following:

What education tax credits are available?

What are qualified education expenses for the American Opportunity and Lifetime Learning credits?

@fivejays