Some travel bassinets have sheets included, but often you must buy them separately. Bassinet sheets should be fitted and of the correct size for the mattress, otherwise they can be unsafe. It's better to go without a sheet than to use the wrong type or size. Any other bedding is unnecessary (and can be unsafe) for babies. Put an extra layer of clothing on your baby while she sleeps rather than using a blanket, and forgo pillows altogether.