We have an old Cox apple tree and it blooms every year. Unfortunately, it has disease and is not setting much fruit. This year it was cold and wet when it was in bloom so virtually no fruit set. I love Cox's Orange Pippin apples though.

mine blooms most years, but not always. be patient. it is well worth the wait

I have a Queen Cox on dwarf rootstock. It bloomed its second year. They dont' always bloom that early and some people consider precocious blooming to be undesirable, thinking it limits future growth. I dunno.

Sometimes fruit trees don't bloom when young because they're growing too fast, especially if they're being pushed with fertilizer. It should bloom when it's ready. Your saying it has 'lots of leaves' leads me to believe that it may be simply growing too fast right now. If you're fertilizing it try cutting back. Once a year should be enough. An orchardist friend once told me that people with backyard fruit trees really should just leave the trees alone, they don't need nearly the feeding and watering that people give them.

Most apples bloom and fruit every year but they alternate large crops with small ones. One year lots of apples, the next year few. Most fruit and nut trees do this, it helps to keep populations of fruit and nut eating insects in check because they don't get enough to eat in lean crop years and then there aren't enough of them to get all the crop in the heavy crop (mast) years. It also leads people to think that the trees only bear every other year.