Unless you are following a specific branch traing regime like 'cordons', then really no. I always like to leave one fruit on the tree, just so I can taste it and to confirm the variety.
Feed it in March with a slow release fertiliser (available in most garden shops). Apply only sufficient for the tree: too much is worse than none at all. I tend to use Gowmore 7:7:7 or Bonemeal.
The best time to prune a fruit tree is every spring while your tree is still dormant. This allows you to see the branches without leaves in the way, it also allows the tree to start healing as soon as it comes out of dormancy.
However any Prunus species must be pruned in Summer, so callusing can occur quickly, preventing silver leaf getting hold.