To move in a circular path or orbit around something. The Earth goes round the Sun once every year.
To visit someone or a place, often as part of a routine or social call. I plan to go round to my friend's house this evening.
To spread or circulate among a group of people. There's a rumor going round that the company is closing down.
To avoid something by taking a different path or approach. We had to go round the traffic jam by taking a side street.