Can I add education expenses for grandchild who is not a dependent? I paid partial tuition, books and other expenses.

You won't be able to take an education credit for someone who is not a dependent on your tax return.  Qualified education expenses paid on behalf of the student by someone other than the student (such as a relative), are treated as paid by the student. Qualified education expenses paid (or treated as paid) by a student who's claimed as a dependent on your tax return, are treated as paid by you.

No. But the person who does claim the student-dependent can count what you paid, when claiming the tuition credit for himself.  If the student is a non dependent, then he can claim what you paid.