Really, a one month old won't know the difference. When DS was born we got sooooo many stuffed animals. I appreciate the gesture but we now have this zoo of like dozens of stuffed animals and so far he only likes one of them, and I assume over the next couple years he'll only favor a few others meaning most of them will sit there on the shelf.
Soooo, I would get something useful for such a young baby, like a nice swaddling blanket (I like Swaddle Me or Aden and Anais...but there are also some gorgeous ones on Etsy, which I second as a great place to get hand-made baby stuff) or burp cloths. Or, depending on price range and if the parents need it, a Moby wrap or other carrier. But yeah, for a baby who won't care one way or the other definitely get something the parents can use. Otherwise, you could try one of those music-box animals where you pull the string and a song plays. Or a mobile or book with simple black-and-white designs, very young babies love those!
Mama since 2010
Multicultural living in Europe