Give Access to Specific users
Login to your blogger blog and go to settings--> Basic settings --> Blog Readers and click on edit see below video for reference.
Once you have clicked edit, select Private –only blog readers radio button and click on save changes this will make your blogger blog private and only visible to blog admin and authors. See below pictorial representation to obtain the clean depiction.
To give access to specific users to your blog select private –Only these readers’
option and click on +Add readers link this will open text area. In this
text area, enter email address of those who you would like to give
access to your blog, see below image to get a clear idea. Remember they
will have to login before they can see your web log.