Excuse me if my answer is a bit long and focusses on a couple of things you didn't ask about. :)
Basically, it sounds like you've been given the normal rubbish petshops like to hand out. Very few petshops know anything about bettas, and unfortunately new owners and their fish suffer for it.
I strongly suggest upgrading the bowl ASAP to something holding at least 4 litres, preferably more. In under 4 litres, ammonia builds up very quickly and it really isn't safe to heat. I always suggest at least 10 litres as a good size, with more always being better.
If you don't have a heater, you need to get hold of one. Bettas are tropical fish and need their water between 78 and 82F for best health. :) If you upgrade to at least 10 litres (2.5 US gallons), a 25 watt adjustable heater would be great. In 4-10 litres, or 1-2.5 gallons, a 10-15 watt heater should do the trick.
As for the conditioner, don't worry about the biological cleaner. That stuff is a gimmick. It is supposed to boost the beneficial bacteria levels in your filter - irrelevant since you don't have a filter, and since it doesn't work anyway. Stick with just the water conditioner. :) There should be instructions on the bottle - follow those.
When you run out, I suggest getting either API Stresscoat or Seachem Prime. Prime is my favourite and is highly concentrated, so it lasts forever. :)
Tips for extra betta health and happiness:
- make sure your tank has a lid, as bettas are jumpers and can throw themselves out of even little gaps
- give your betta some toys to play with and hide behind. A silk plant that can't tear his fins is great; a simple live plant, like java fern, is even better. :) A clean dishwashable coffee mug makes a great cave to hide in. :)
I hope this answers your questions. :) Sorry I went on so much! I hope your new fish is very happy. :)