wear anything you like, within reason of course.. but normal western wear is fine.. The muslim women who are more concervative will wear the traditional abaya (black cloak and scarf) but some more worldy muslim women just wear normal decent convervative slacks, or long skirts with a blazer or long shirt and just a scarf.. Western woman wear whatever they please.. slacks, normal dresses, (knee length). I rarely though see people wearing mini skirts or short shorts out in public.. but yes on the odd occation I have (but you would be thought of as an easy woman if you do).. Just dress normally..
Winters here are mild.. hardly any rain, maybe 1 day of heavy rain, and a few odd days of sprinkles, but not bad.. The weather is between 50F up to 80F on any given day in our winters.. we have cool days and warmer days. but its normally mild with light breezes.. There is an odd day that it can get real cold.. down towards freezing, but this is rare..
the locals though. you'd think they are in Alaska.. they wear fuzzy scarved around their necks, hats, earmuffs, boots, wooly jackets, gloves.. .. I guess its what your body is aclimitized too.. Id think a normal light jacket, some nice thick closed toed shoes.. good socks, layered shirts, sweaters, etc (so if you do get hot, you can unlayer) is a good choice for our weather. the sun is always bright, bring a good pair of sunglasses..