What sights should I see in Perth?

Travel Info
I will be there for a week.

Travel Tips

penguin island is also worth the visit, it is accessed by ferry from rockingham just south of perth. The museum in the perth cultural center is also worth looking at. Northbridge is where the main nightlife is in perth. Yanchep national park and whiteman park are also great places to visit, along with lake leichenaultia

Others
Make a trip to Rottnest Island - the ferry leaves Hillarys Marina or Fremantle Boat Harbour daily. King's Park has some fantastic views, and Cottesloe beach is a must at sunset. You can also do a winery tour around the eastern suburbs (Sandalford, Jane Brook, Wise, Sitella wineries to name a few) all do lunches at a reasonable cost.
agree with Kelsey's suggestions... also check out Fremantle, it is about 30 mins south of Perth, has some interesting historic features and sights, including the old jail, it is now open for tours, including at night which are amazing if a bit spooky!
A cycle along the river across one of the bridges and back via the other bank, is a pleasant way to spend some time if its not too hot.
scarborough beach, fremantle, king's park are only three of the best places you could go to.
Also try a day trip to Margaret River and taste the wine and cheese they produce down there - its fantastic!
Rottnest Island, Fremantle, Hillary's Boat Harbour, Cottesloe Beach, Perth City Centre.