Sometimes yes, and sometimes no. I find dip seedlings tend to look more alike. Tet seedlings can be very different looking.

The pod is like a big bean. here is what the seeds look like. Thanks in advance :)

Depending on the variety of peony you have it could have viable seed inside. If you want to try to grow peonies from seed just be aware that it is a very long process, easily 5 years from planting to first bloom, and that the seedling might not (probably won't!) look anything like the parent. I've had no success in starting them inside, someone else will have to post a method for that if you're interested, but if you want to plant them outside you'll need to wait for the seed pod to change colors and split. This normally happens mid-late summer for me. The seed inside will look like small dried peas, can be any shade from a dark tan to black. My method is to cut the bottom from a 2-3 gallon plastic plot and plant it down into a shady spot in my garden. Fill it with garden soil and then just push your peony seed down into it, maybe an inch at deepest. The only purpose for the pot is to show exactly where the seeds are planted as you won't see any growth above ground until the following spring at the earliest. If you don't like the way the seed pods look and aren't interested in investing 5+ years into a new plant you can deadhead the seed pods whenever you like, makes the plant look better. Or you can just leave them there and let nature take its (eventual) course, I have plenty of baby volunteer plants....

Sorry for the delay. I was bogged down by troubles using TurboTax and missed reading quite a few emails, including Floral's. It was a time of year (in Southern California) when trees around here might have foliage even if they are deciduous. In any event, the tree did have plenty of leaves. I must try to get back there and take a photo to post. Thank you for answering me.