Help with ID of evergreen ornamental
Lane County Oregon
This looks like Cotoneaster lacteus (Parney cotoneaster), a native of China used as an ornamental. This identification is courtesy of Neil Bell, Oregon State Extension Community Horticulturist. Here is a link to an Oregon State University landscape plants description - https://landscapeplants.oregonstate.edu/plants/cotoneaster-lacteus
Any pruning should be done to enhance the shrub's natural form. You can take out dead & diseased branches anytime but most pruning should be in spring before flowering. Prune longer branches back to side branches just above new buds. You could cut out a few branches in the center down to ground level if shrub is really dense.