Sydney's very own Broadway has nothing to do with musical theatre! Rather, you'll find the term is synonymous with shopping (mainly groceries), movies and 3 hours free parking (which is very rare is Sydney)! The building that the shopping centre now occupies used to belong to Grace Brothers, and you may be able to distinguish the name near the top of the building. There's a nice, short little blurb about it here.
If you visit Eric's blog, there's a photo of the Hotel de France which is being restored into new housing blocks, all while keeping the original facade of the Hotel. This was also the fate of the Grace Bros building when it was 'internally' transformed into The Broadway Shopping Centre!