I am a nurse at a private school. State website says only this:
Q. Can I receive benefits during the summer if I am a school employee?
A. Employees paid by a non-profit private school, a public school, or a college, who have a reasonable assurance of returning to work after a school recess or holiday period, may not be eligible for benefits. However, if you had non-school employment with sufficient wages to establish a claim, you may be eligible for benefits. If you work for a private contractor, which provides bus drivers, cafeteria services, etc, you may be eligible for benefits and should apply for benefits.