The right bitbucket url for hooks: https://www.atlassian.com/git/tutorials/git-hooks
I don't think I can trigger any scripts in the Bitbucket repository based on events in a Github repository.
There is a mirror plug-in for Bitbucket: https://marketplace.atlassian.com/apps/1211351/repository-mirror-plugin-for-bitbucket?hosting=server&tab=overview
But I think it is only usable if you have Bitbucket on your own server. Also, I see only references to support mirroring of Bitbucket repositories on other remotes.