Hello Chui Ming Tam,
The options vary a little based on the type of membership but generally when using the Creative Cloud storage feature, users can work either way or both, locally on the computer or through a browser online. One of the services built into the Creative Cloud desktop app is File Sync.With File Sync running, it keeps both the files online files and the local files within the Creative Cloud folder folder the same. If you delete them on the computer they get moved to the online recycle bin (Archive), if you delete them online they moved to the recycle bin or trash on the computer.
Here is a help article about this too
Browse, sync, and manage Adobe Creative Cloud assets
Please let me know if that helps and if you have further questions.
Thanks,
- Dave