We left our hotel in Shapingba at 9.30am to get the train to Beibei (end of line 6). It took an hour and a half, and once we were there we took a taxi - we attempted to go to the bottom of the cable car but the driver offered to take us to the top of the mountain for 70yuan so we did that instead (took less than 10 minutes).
At the top it cost 7 yuan with a student card for entry, and we wandered around for a couple hours in the park.
To get down we took the cable car which cost 20yuan each and took 20 minutes - it's beautiful though, I definitely recommend it! It stopped in Beibei and we got the bus number 218 to the bus station (last stop), which is about a 5 minute walk from the metro station.
The park is beautiful and so relaxing to get away from the city centre.