House of Commons has exemptions for all kinds of licensing, that's how the bars can stay open all the time, and that's why they have all those late night sessions. Mind they don't have our kind of sessions.
Council meetings are of course open to the public, and they can at times be quite entertaining, so I think a case could be possibly be made for saying they need a Public Entertainment Licence. (You don't have to be making music to need one, just entertaining in a public place.) Whether they are televised or not is irrelevant I don't think you'd need a PEL for television, though there's probably some other licence you might need. You do for most things.