Chengdu, the capital of Sichuan has a fairly large modern airport with domestic connections to many cities all over China and also some international connections. Internationally you can fly from Europe KLM, Singapore, Japan, Korea and Hong Kong, and many people arrive and depart using the very good air services available.
China has an extensive railway network and Chengdu is well connected to many cities by rail. One recent innovation is a fast train between Chongqing and Chengdu. Chongqing is a very large city which was part of Sichuan until 1997 but now is an independent municipality. Many trains shuttle forth every day between Chongqing and Chengdu. Not so long ago, the journey took anywhere between 4 and 8 hours depending on stops. Now a fast train up to 200 kms per hour run several times a day between the two.
Another option are buses. Buses run between Chongqing and Chengdu taking about 4 hours. However, bus travel seems to be less reliable than trains because of road works that are often occurring.
There are also several options of travelling within Sichuan. Many popular tourist destinations such as Leshan and Jiuzhaigou National Park are serviced by buses. The network is quite extensive and the highways are good. Buses also seem to mostly run on time.
Air travel is available within Sichuan if you want to go to Jiuzhaigou National Park which is over 300 kms from Chengdu.