I have recently received my settled status and I need to wait one year to apply for citizenship. Is there anything I can start doing to speed up the process?

Unless you are married to a British citizen (in which case you do not need to wait a year before applying), unfortunately there is no way to speed up the process.

However, you can use this time to pass the Life in the UK test and the English language test (if required), which you need before submitting your application.