You're just saying there's a girl you like, but you never talked her before? Like "love on first sight", you know. The first thing to do is talk. You may be surprised, both in a good, both in a bad way: you want to have pretty and loving fiancee, but you may find you've just fallen in love with a shallow hottie, as appearance could be deceiving, and the way she acts with her friends may not be the way she actually lives and acts everyday.
So, the first thing is talking with her. But you seem a bit shy, and you don't want to seem a sexual predator or something like that.
A good news for you: girls, like boys, actually can be talked too, without feeling a casual chit-chat as sexual harassing. Only, don't push your luck. For the first meeting, try say something very casual. Dont start with "I love you, have a date with me, I'm seeing you everyday from months", she would be truly embarassed. Try simply asking her if she had a nice day and similar stuff, if she seems tired offer yourself to be her listening ear for today, say her you actually go to the place in with you've just met really often, and you're suprised she works/studies/lives in that place too, and she's very fortunate to stay there... then you'll see the arguments of conversation you can hook to will broadens.
You may ask her about her "tiresome" activities, or simply say you're new of the place, and ask her if there's something funny to do. Next time you'll see her, talk her again.
You can't propose to a complete stranger, but you can ask a date to a friend, if you discover she's worth it. If not, simply don't show up again.