The airport station is the closest station & it's not that far but a difficult walk road wise. That is why the hotel has a paying shuttle bus. It was about $6 one way . You can then go by train back to the city - 10 mins but expensive trip as privately owned rail ink. So doing the reverse you can come from Central station to either domestic or international airports then catch the shuttle to the Ibis.
bus/train station nearby ?
The local train Station Mascot is a ten minute walk from hotel Mascot to City 15 mins on train. . The hotel is 10 minute walk from Domestic Terminal. Shuttle or taxi to from international terminal.
The domestic airport is a 5 minute walk. Trains into the city run frequently but are more expensive than if you walk 15 minutes in the other direction to Mascot station. Busses run constantly along Botany Road about 5 minutes walk in a third direction.
You can walk to the station from the motel