For top roping, no you don’t if you are just belaying and not climbing.
For bouldering, also no, but with limitations due to the squishy layout of the bouldering area and our fire capacity limits. Please read:
Bouldering for children 6 and under: Because children 6 and under need to be supervised very closely in a 1-to-1 ratio while bouldering, the adult can not technically climb in the bouldering area while supervising a child in this age range anyway.
So if you pay an adult drop-in, then your child can climb free as long as you limit your time in the bouldering area to 30 minutes or less (on observation, most small children have had enough by this time anyway). If you want to stay longer in the bouldering area, you must pay a youth drop-in as well as the adult drop-in.
Bouldering for children 7 to 9: Because the parent must be on the mats with kids 7 to 9 years supervising in a 2-to-1 ratio, the same deal as above applies (child boulders free for 1/2 hour or less if adult pays adult drop-in). However, we highly encourage the parent to try climbing too as it is great for your child to share the experience!
Child-membership holders: Note that anyone accessing the gym during off-hours must be a paying member. So if your child wants to be a member but you don’t want to actually climb, you still need to be a paying member (there’s a family rate, so woohoo).
However, to get around that, it is fine to only come during drop-in hours with your member-child. In that case, you don’t have to pay the drop-in for yourself unless you stay supervising your child in the bouldering area for longer than a 1/2 hour.