My daughter would like to start on hers in June, if possible.
After having looked on the common app, I believe they stay the same from year to year.
There have been some variations over the years.
But it really won’t hurt your daughter to get started early, if that’s what she wants to do.
(If the June-essay idea is coming from a parent rather than the D…then I’d say forget it. There are better things she could be doing with her time.)