If you have evergreen shrubs that have suffered winter burn (browning and/or death of some foliage) this is a good time to do selective pruning to remove dad twigs / needles specifically on Yews, Junipers and Arborvitae. Try to leave the parts of the evergreen that are still green when you cut off the brown.
When you get rid of the brown / dead part of the shrub, light is able to penetrate to the plant tissue that is still alive and give the best opportunity to stimulate new growth. A modest application of Miracid fertilizer right after the cleanup pruning can also be a nice boost for re-growth.
If you ave a pine tree or shrub that has some brown needles, but the buds survived and are lengthening and pushing out new growth, wait a few weeks to see how the new growth develops. The partial browning will disappear as new growth matures and damaged needles begin to fall off. On a pine, you will be able to tell which twigs are dad by mid-July. this is the time to do cleanup pruning on pine trees and shrubs.
Mid to late June is a good time to prune rapidly growing leafy shrubs to control size and improve density.
Most of these shrubs have put out quite a bit of new growth that could become a wild and gangley in appearance if left untouched.
By pruning in late June, there will be time for some additional growth that will make for a more dense shrub. Remember that if you prune so the bottom half of the shrub is wider than the top half, you are likely to keep bottom foliage dense. If the top is wider than the bottom, the lower half will gradually thin out due to lack of sunlight.
If you prefer larger shrubs with interesting branch structure, selectively prune out individual canes/branches to leave the type of architecture you find beautiful. Limit the amount you remove to 20% to 25% in anyone season when pruning for aesthetically pleasing shape.