Business and pleasure: Selena Gomez cools off with an ice-cream while shopping and Justin Bieber goes to work Down Under..

They have been dating for over a year and are one of the most powerful young duos in the music industry.

But, Justin Bieber and Selena Gomez showed that they are just like any traditional couple when it comes to their lifestyles.

While Justin, 18, was busy at work in Sydney, his girlfriend was enjoy a leisurely shopping trip around the Australian city, earlier today.

Selena, 19, checked out the Sydney Opera House and took a stroll in the sunshine before deciding to do a bit of shopping in Paddington.

All those hours walking around in the sunshine took its toll on the young musician and she had to cool off with a large chocolate ice-cream.

Later in the day she also enjoyed a hamburger lunch at Bondi Beach, and sipped on a Lipton Ice-Tea drink.

The Disney star was dressed more like a rock and roll artist rather than the pop sound she is well known for.

She wore a open denim shirt with a black vest top, blue jeans and big biker boots. Her relaxing afternoon was a far cry from her boyfriend's who was just moments away, hard at work.

Justin arrived at the Entertainment Quarter, where he was due to perform an exclusive acoustic concert for his legion of fans.

He also had the look of a rock star and wore a sleeveless denim jacket with a black V-neck shirt and matching trousers. He completed the style with a thick gold chain and sunglasses.

The pair have been enjoying their time Down Under, despite work commitments cropping up here and there, and were spotted visiting trendy St Kilda bar Hotel Barkly on Saturday night. 

Beforehand, the duo and Justin's entourage went for dinner at the popular Stokehouse restaurant on the St Kilda waterfront.

The teenager star also wore a pair of black sunglasses throughout the evening, and it is no wonder why.

Justin has been continuously mobbed by thousands of Australian fans since he arrived there last week.

For the outing, the couple both dressed warmly for the chilly Melbourne conditions.

Selena was toasty in a grey knitted jumper worn under a denim vest, while Justin wore his leather Letterman jacket over a hoodie and a white T-shirt.

Justin Bieber and Selena Gomez visited a trendy St Kilda bar in Melbourne, Australia on Saturday night