Meaning
To flirt / To show romantic interest
Example
Cara, aquela garota está dando bola pra você, vá falar com ela!
Dude, that girl is totally flirting with you, go talk to her!
Origin
The expression dar bola ("to give the ball") is one of many everyday Brazilian phrases that came out of football. Passing the ball to a teammate means trusting them and bringing them into the play, and from that gesture the words took on the sense of paying attention to someone.
Source: Canal Brasileirices.
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More idioms
Acertar na moscaTo guess correctly / To hit the nail on the headAmigo da onçaA fake/false friendAndar na linhaTo toe the line / To behave properlyArmar um barracoTo cause a public sceneRodar a baianaTo cause a public scene / To go ballisticArrumar sarna pra se coçarTo ask for troubleArrastar as asasTo hit on someone / To flirtAbrir o jogoTo come clean / To open upArregaçar as mangasTo roll up one's sleeves / To get to workAgarrar com unhas e dentesTo hold on for dear life / To seize an opportunity