What is growing on my evergreen?

They look like things called Galls. This is produced by the tree after insect damage. In many cases the insect actually creates the gall as a home for its young. The things called Oak apples in Britain are prime examples of insect caused galls.

Thank you for your response, it has helped significantly. I looked into this a bit more using 'Gall' in my search and found out it is probably Cedar Hawthorn Rust. Here is a brief description: Cedar-hawthorn rust is caused by a fungal pathogen called Gymnosporangium globosum. This disease occurs on eastern red cedar, Rocky Mountain juniper, southern red cedar, common and prostrate junipers, apple and crabapple, most hawthorns (there are a few reported, resistant species), and sometimes on pear, quince and serviceberry. In order to survive, the fungus must "move" from one type of host to another (e.g., from juniper to hawthorn). The website I found was: http://www.urbanext.uiuc.edu/focus/cedarhawthornrust.html