Should i be a more experienced rider since...?

I've been taking lessons for 3 yrs. I can walk trot canter (with and without saddle) and i can jump 2' while cantering. I can jump 2'6 with a saddle. I have fallen 3 times and i have ridden 2 green horses. I have galloped but not on purpose xD Is this good or since i have been riding for 3 yrs should i be doing better?