Hi Kara. Kanturk may not be as beautiful as Connemara, but it has it's own simple beauty. A weekend would be enough to be honest. There is a Wild Boar Festival in July every year. There is "The Old Court" Kanturk castle which is a shell of what might have been, as it was never finished. There are some beautiful walking areas( if that's your scene) through parks.There are 3 of them, all on the rivers.It is quiet interesting if you managed to get hold of an old map of Kanturk as you can see where many things such as the old railway used to be. There is a fairy ring of standing stones on one side of the town, a place called Fairyhill.
I normally go back once or twice a year. Meeting a local historian would be your best bet. There are some things in kanturk that many locals don't know about
There is also a town website. It's not the greatest but it has some pics. As good a starting point as you will probably get on the net. Kanturk town