How far into 1 are you talking... Just turned 1 or closer to 2. There is a big difference. You need to determine how she would handle the characters. If the would scare her, make her happy, or would she be indefferent.
We took DD 2 to a couple of character meals... she absolutely did not like the face characters (princesses in the castle). She would not even look at them. However she loved Goofy, Pluto, and Chip and Dale.
On the plus side you don't have to pay for her so determine if you want to do a character meal. If you do then go for it.