Help with Apple Tree Please

I don't have any fruit trees but my dad has a smallish apple and he asked me a question today and I don't know the answer so Im hoping one of you wonder peeps do   

He pruned his apple tree last year and this year it is loaded with fruit on the old wood.  However it has new branches about 1-2 foot long shooting out of the pruned ends etc.  He thinks this new growth will hinder the final development of the fruit and wants to trim it back to when he pruned it to last year.  Should he do this now or wait till he harvests the fruit?  As said he thinks all the trees goodness is going to growing the branches and not the fruit is he correct??  He only has a small garden and is concerned it getting to big again and he has just been diagnosed with cancer and is having an op next week so is also concerned if he doesn't do it know he will be too unwell to do it later.  Ive said I can do it when time is right but he wants to do it himself so please give me advise for him.

best thing is to search for stephen hayes on youtube and watch some of his pruning vids.it will give you a better idea of the principles so you can make your own judgment.

He only has a small garden and is concerned it getting to big again and he has just been diagnosed with cancer and is having an op next week so is also concerned if he doesn't do it know he will be too unwell to do it later.  Ive said I can do it when time is right but he wants to do it himself so please give me advise for him.

Tell him that it will be ok, leave it this year.  Apple trees are very tough, if he leaves it this year he will get a good crop next year.  And next year we can choose the best thing to do.  There are two types of apple and so two types of pruning but a year won't change anything.  Tell him to wait, and watch next summer.  We can talk then about what has changed.

Correct - winter pruning for growth, summer pruning for fruit, because the tree will not respond so vigorously if pruned in the summer.  You certainly don't want to remove all these new growths because they are going to form good strong fruiting wood in a year or two.  But you do want to take them back a bit this winter.  Just remember that the one on each branch that you leave the longest will suppress the growth of the others by producing auxins.  If you cut them all back, there will be no leader to produce auxins and the tree will go mad again and this will weaken it.