Is there a way to get notified when a new file is added/modified to Azure File Share?
Similar feature exists with AWS S3 where one can configure an S3 bucket to send message to SQS or SNS or Lambda (or other) when a new File is added.
An alternative (though less preferred) is to be able to query files in a share such that only modified/new files after date X will be returned.
For getting notifications on addition/modification of blobs (not files), you have multiple options available:
Blob Creation
(and not blob updation) event. More information about this can be found here: https://learn.microsoft.com/en-us/azure/storage/blobs/storage-blob-event-overview.