From us DD is getting some Sesame Street dolls, toy train/stacking block set, books, her own wallet so that she will stop getting mine (yeah right,) and some bangles.
My mother is getting her a baby doll, stroller, crib, pack-n-play, highchair, etc.
She also has 2 other sets of grandparents and an aunt and an uncle. Clearly, the child will get way too much but I guess that's what happens when you are the first and only.