SKINNY IS FABULOUS! i used to have such a hard time finding what i should wear, i didn't know how to dress myself or what even looked good on my body-type but i've had a lot of help from employees at stores and from my fashionable best friend...so here is my help!
i am a little taller than you but same weight and what i try to do is look at all the skinny celebrities like Odette & AliVix1 said. i find that super easy just take a look at paris hilton or petra nemcova...skinny jeans are something i just recently tried & they look so much better on me than any other cut of jean! they hug all the right parts & if they are long you can bunch them up around the ankles and it looks adorable! pair skinny jeans with a cute flowy top, for summer think of tube tops like this
or tanks like this
are reallly flattering
if you consider yourself a TALL skinny girl go with some cute flats - metallic or satin, maybe some leather sandals
if you think you're a shorter skinny girl i would add some wedge sandals, or a retro leather pump in a matte-like finish
just remember always try things on in store! because i used to pick things up in my size then bring it home & it didnt look the way i hoped! so try everything on, and shop in outfits - when you pick something up look for something you could pair it with, or imagine something in your already existing wardrobe