One measure is from a survey of union officials that the RBA has run for many years, where we ask for the expected inflation rate over the next 5–10 years. This measure has increased significantly, after being very low for a number of years, although it is at a level seen prior to the pandemic when inflation was close to its target.
For households, the main data on inflation expectations relate to just the year ahead; we lack measures of medium-term inflation expectations. Understandably, given the elevated inflation rate at the moment and the  11  forecasts for the next year, short-term inflation expectations are high at present.