Trail runner, newbie Peak bagger… advice needed!

Hey guys! I am an avid trail runner and hiker, but I've never "bagged a peak." Which also means, because I'm a trail runner in SoCal, I've never tackled snow. I want to start on my first peak, so Wilson because it's the lowest elevation. Any advice you can offer a newbie? Are my trail shoes, pack, and layers for my normal long runs sufficient? Thank you for any help you can provide!