Yes, get yourself eclipse glasses, a pinhole projector, a floppy disk, digital camera or whatever allows you to observe the eclipse safely – no phenomenon is worth risking your eyesight over. However, the consensus is that you can watch the sun flares without protection during totality. The totality lasted 0 to 4 minutes depending on your location.
I was wondering about OP’s soft-eject floppy drive. Seems quite retrofuturistic.