Yes indeed - the guards are very serious. I put my hand in my pocket to get a handkerchief to wipe my nose and two of the guards came alongside me in case I was about to do something else!
If you visit the tomb it is free of charge but you are not allowed to take a camera (even one in a mobile phone) you will have to leave them safely with someone else who is not going with you.
Learn some Russian Cyrillic letters - after the tomb are the memorials of many interesting and well known past presidents and it is a shame not to know who you are walking past
I visited Lenin's tomb during February 2004. The visit was fascinating, though a little unnerving. The guards were exceedingly serious - no smiles or small talk. As I walked around the glass case containing Lenin's body, I was not permitted to stop and examine him. The guards indicated I was to keep moving, even if only slowly. As such, my time inside was quite short. Nonetheless, it was an experience that will always stay with me!
William, Albuquerque 05/10/2005