The baby-safe variety of Legos? It's hard to imagine a (healthy) case for a device with a screen at that age. But at the very least she can start building motor skills and think about building things.
At one year old, it's not like most children are going to be doing anything more advanced than sticking a few blocks together in the easiest possible way, but you have to start somewhere. I have a son about that age and there are really only a couple of pieces in his Duplo set that are questionable, choking-wise. You could go with Mega Bloks instead, which are definitely too large to choke on.