Yes, it's a tree peony. You should be able to buy one in a garden centre.
If you want the same variety then I think this one is pretty close..https://www.kelways.co.uk/product/tree-peonies/3/paeonia-shimano-fuji-japanese-tree-peony/5122/
They have several in my local GC but I'm in France! They are in bud, not in flower. Sometimes GCs like to get in flowering plants, more tempting. Too late to buy bare root but maybe a bit early for ones in pots. Did you ask?