1. After you get off the plane and pick up your luggage, you can take [Airport Express Line 5] to Haizhu Square outside the arrival hall in Airport Area A..
The last bus of Airport Express Line 5 is at 1 am, and the departure interval is about 15min, so you can take this bus if your plane is on time or late for a short time.
The highest fare for this bus is 21 yuan, Haizhu Square should be cheaper, and the conductor will stand next to the bus to sell tickets.
After arriving at Haizhu Square, you can choose to take a taxi or other means of transportation to reach the Second Palace.
2. If you are really unlucky and the flight is delayed for a long time, then take the Airport Express Line 1, which will operate until all flights are over.
You can get to the railway station by this bus, and then take a taxi to the second palace of the city, which is also quite convenient.
I hope I can help you, hope to adopt it, thank you ~