Little People! I give this as a gift to all 1yo lol I would just get a cute little basket (you can get ones that are like stuffed animals!) & put some little people or maybe a play tea set or something in it. Board books too, just give them some small/cute little toys dont have to spend much!
My son is 12 months. I got him a little plastic boat for the bath tub, thomas train, hot wheel cars, Elmo books (target dollar section), Gerber snacks. A little chocolate bunny - just cause its a tradition in our home. We will have a taste and that is it.