Buying Starbucks for a girl?

At my college there is a girl I've seen a few times in our campus Starbucks. I've wanted to talk to her but never really had a reason to. My question is... the next time I am there in line and she is there too, what if when I order my drink I give the barista $5 to pay for the girls drink when it is her turn to order (assuming she is behind me in line).
Would that be weird for a random guy to pay for your Starbucks out of the blue, or is it an okay ice breaker?
Buying Starbucks for a girl?
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