A bicycle is given to a child at the Ceremony of Nine in The Giver. Am I correct?

Yes, you are correct.  Children in the community do receive their bicycles when they get to be nine years old.

There are a number of instances where the book tells us this.  I don't know if yours has the same page numbers as mine, but:

• On page 13 we find out that all kids are given bikes when they turn nine.  Before that, they aren't supposed to ride but are often allowed to ride by older kids.


• On page 14, Jake's father tells him about his own (the dad's) sister's Nines celebration where she got her bike and took out her hair ribbons.

So yes, that is when they get their bikes.