I trimmed her fringe and a bit at the back a few times but she had her first 'proper' haircut at just gone 2 years. She has a wavy bob and doesn't like clips in it and won't stay still for me to put it in bunches so I have to keep her fringe short enough to stay out of her eyes.
I cut my DD's at about 4 months old I think. She was born with a lot of hair though. I think she's had about 6 haircuts altogether(she's 20 months) - all done my me She now has a shoulder length bob with a short fringe - for the same reasons as mejon's DD.
DSDs Mum refused to have her hair cut at all, then DP (her Daddy) took her when she was 3.5. She was terrified and screamed the place down. I think there is some merit in doing it slightly earlier than perhaps it is actually needed so DD can get used to it, but 1 does seem very early unless the hair really needs to be cut.