Yes, that was quite a rebound yesterday, with price recovering all of the drop that occurred after the bearishly-viewed inventory report came out.
Prices are really soaring today. I suspect a good portion of this move does have to do with the weather patterns you've outlined, as A/C use will ramp up throughout many areas in the U.S. in the coming days. This all coincides with what is typically a time of seasonal strength for NG going into June.
The daily chart was looking good after yesterday's hanging man candlestick that closed above the 20dma. That price action was key to keeping the bullish MACD cross intact, and in positive territory. The weekly will look even more impressive if today's strength holds steady into the close...new multi-week high occurring right now.