Can anyone tell me if bedding is provided at your duty station when living in the barracks?

In the military we have to make assumptions sometimes and see how it plays out. You negate all the possibility of a bad outcome by taking your own linen. They don't take up much space. Good luck.

Every unit that I've been to with barracks has had a supply of linens for Soldiers. All Soldiers went to the PX ASAP to purchase their own but there were linens available.

In the event that your unit doesn't provide them, ACS on post may be able to assist you.

If I remember correctly from when I lived in the barracks, sheets and blanks were provided but that was like almost 25 years ago.