That ought to answer the 'what is cycling' question in a more thorough manner if you were interested.
Should you try cycling a 1.5 gallon? No, it's too small, it wouldn't hold a proper bacteria colony to keep a cycle. Besides, a cycle takes weeks to do, if you'll be upgrading soon, he'll be in the new tank before then xD
When you do get around to cycling a tank, if you haven't already: http://www.fishforum.com/member-submitted-articles/freshwater-cycling-methods-3067/
that's a handy board on how to cycle.
I prefer feeding pellets to my bettas, but some people use the flakes without any issue. I feed twice a day 2-4 pellets per feeding. When I fed some of my betta's flakes, it was twice a day, just a little bit sprinkled into the tank, no more than what they could consume in two minutes time.