No, it does not need to be reported. Form 1095-B or 1095-C  is not reported on your tax return. Both forms are receipts from private insurers or employers confirming you had health coverage. Keep them for your records.

When going through the Health Insurance section, all you have to do is indicate that you have health insurance coverage all year (if applicable) and that you were not enrolled in other plans (such us Obamacare of Healthcare.gov plan).