Typical meetings vary month by month, fraternity by fraternity.
A lot depends on whether the SFO fraternity meets at night or in the day. A typical fraternity meeting for my fraternity consists of
1) Attending the healing Mass at the friary we meet at.
2) Lunch/social time
3) Business meeting
4) ongoing formation
Things can change depending on what the topic is and if there is anything special going on (i.e. elections, professions, special Masses, etc.)
Most fraternities are similar, just the ordering will change and they may have evening prayer instead of Mass, social time may be last, but all meetings are supposed to consist of prayer, social time, business meeting, and ongoing formation.
As to whether you can bring a kid. If it is a one time thing there shouldn't be a problem. I would suggest contacting the minister or someone on the council to make sure there isn't something special going on that meeting where having a kid present might cause issues. One thing to remember is that a majority of most fraternities are older people that have forgotten a lot of the issues that parents with young kids deal with (I am saying this as a professed member with two young kids myself)
If you want to go down the path of becoming a member I would make sure that you only plan on bringing the kid once in a blue moon. Having the distraction of a kid at the meeting will cut into what you are supposed to be getting out of things. Especially as your kid gets older and becomes more active and stops sleeping through things.