It will depend on the grade of activated carbon and the level of chlorine /chloramine coming in. And if you are constant dripping 24/7 as slow flow - long dwell time will increase adsorption capacity of carbon.
In my area, 3ppm chlorine /chloramine is used. I get about 4 years use on a similar size filter used for much higher volumes of water.
You don't need a chlorine test kit, just the reagent (tablet from pool store) as you don't care what level of chlorine, you just want to know if any chlorine is getting through. The good news is the carbon will gradually fail giving you months to pick this up. Or just use a sensitive test fish in a pre chamber (that gets 100% change daily) that then goes to tanks. Silver sharks are a good species for this.