Will the Android permissions WRITE_EXTERNAL_STORAGE and READ_EXTERNAL_STORAGE trigger the new grant permission dialog of Android M?
Storage permission falls under dangerous protection level, So all the dangerous protection level permissions will not be granted at install time in Android M, if App target SDK is set to 23. They will be given at run time. And yes these permissions can be revoked at run time also.
No permission dialog will not be triggered automatically, you need to do a request by using API such as requestPermissions() method to show that native dialog.
Please check the dangerous level permission list here