Will baby be giving sibling a gift??

I didn’t even know this was a thing until now, but mommas with young children and one on the way; will you buy a small gift to give to your toddler “from the baby”?? I have a 2 year old and am due next month with my second and i was planning on buying a gift for my son to give his baby sister, but just found out people buy gifts from the baby to the older sibling.