The official order of IELTS components is as follows:
1. Listening
2. Reading
3. Writing
4. Speaking (sometimes the Speaking test is delivered on the same day with the other 3 tests, and sometimes it is not)
However, recently there was a change in the order of the first 3 components in Australia, and the current order is:
1. Writing
2. Reading
3. Listening
4. Speaking (no change)
As far as we know at this stage (June 2014) this change was only made in Australia and other countries are unaffected.