There are a few different things.
First, there's General Handbook 38.8.20.2, but this is NOT an official page, also "Online resources should not duplicate tools and features that are already on ChurchofJesusChrist.org, Member Tools, or other Church resources."
There is an official page at the ward/branch level. Events are placed on it by clicking the "Public" checkbox when entering an event in the calendar. However, this is more focused on allowing the community to find out about events though web search engines and coming to join in the activity. Stake leaders can also do that and the events are pushed to all the English-speaking ward webpages.
You didn't say what he wanted to put on the page, but if it's primarily activities, the calendar system would be the appropriate place to do that. If there isn't one already, a "Stake YM" calendar can be created and he be made an editor of it. Activities can show up in a number of places such as Member Tools.
Have you searched the
Help Center? Try doing a Google search and adding "site:churchofjesuschrist.org/help" to the search criteria.
So we can better help you, please edit your
Profile to include your general location.