First check FIND JOURNALS to see which years AU owns.
For earlier issues, take a look at the Library of Congress website http://www.loc.gov/rr/european/newspapers/ru/runews3.html
Dates of Publication: Apr 22 (May 5), 1912-present
Language of Publication: Russian
LCCN: http://lccn.loc.gov/sn2006058067 http://lccn.loc.gov/2001252294
LC Call Number: Newspaper Microfilm 823 + Newspaper Microfilm 742 + Newspaper 1975-A
LC Location: Eur [film, paper]
Newspaper Microfilm 823: Mar 5, 1917-Dec 31, 1959; Jan 1960-Dec 1990; Jan-Jun 1991; Jan-Dec 1992-2014; currently received [211+ reels] Newspaper Microfilm 742, reel 13: Jan 5, 8-21, 23, 26-31, Feb 1-15, 22-28, Mar 1-19, 1949 [1 reel]
Via Subscription Database: UDB-COM [2003-present]; LPD [latest 2-3 months only] ; Pravda Digital Archive [1912-1914, 1917-2009].
If this is the newspaper you need, you must go to the Library of Congress to consult the microfilm or the Pravda online archive. Please note that Pravda has not been translated into English. If you are not familiar with microfilm, here is an explanation from our FAQ http://answers.library.american.edu/a.php?qid=201562
Online issues must be consulted at the Library of Congress.
Before you begin your research at the Library of Congress, you will need to obtain a Reader Registration Card that allows you access to their collections. Here is how you obtain the card: https://www.loc.gov/rr/readerregistration.html The librarians at the Reader Registration office can help you find the location of the issues you need.