It should not need pruning at all. Snipping a shoot that is growing out of bounds for the desired plant shape is fine but usually not needed. Wait until early spring to fertilize. Apply 1 cup of a turf fertilizer with about 15% nitrogen in an 8 foot diameter circular area around the tree. Repeat in mid to late spring and again in early to mid summer. Each time water the fertilizer in after planting. For the first few years maintain a 2 inch layer of mulch on the surface of the soil in an area extending twice the branch spread of the tree.
That tree needs full sun or close to it to do well.
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