You will not see much growth on your new trees and shrubs the first year, because they are spending their energy on growing a strong underground root system instead. Like a baby that is growing amazingly fast in its brain and nervous system, while seeming to us to simply be eating and sleeping, we can't always see what's happening at first.
Assuming your tree or shrub was planted well, with proper care and soil amendment, it should start to grow in its second year.
We like to say: "The first year they sleep, the second year they creep, the third year they leap!" - Meaning that you should see some above-ground growth in the second year, and you should see the tree grow quite a lot in the third year. This is also true for larger trees or shrubs that have been transplanted - it takes them some time to regrow parts of their root system that may have been cut in the transplanting, and to establish themselves in their new home.
It is very smart for the new or transplanted plant to work on establishing a strong root system first. It is ensuring that it can find resources from the soil and local water table for the years of growth to come. The healthier the root system, the less you have to worry about your plant in dry, hot summers or especially cold winters. (This is why we encourage watering new plants especially well during their first years, because their root systems are still quite small.)
If you want your tree or shrub to grow quickly, the best thing to do is pick off the flowers before they become fruits. This can feel quite sad, if you were looking forward to early fruits, but if the trees don't use their energy to create fruits, they can use it to grow their root system, height, and branches. For the plants, this can be a very useful helping hand.