If you use an e-reader, you will be happy to know that there is a plethora of materials available now on LDS.org that are provided in ePub format. You can access the ePub materials here (or to go LDS.org, select ‘Menu’ at the top, and then ‘Manuals’ (under ‘Study’), and then look on the right sidebar for the ePub link.

Larry Richman explains more at LDS Media Talk:

The list of publications includes scriptures, general conference, and manuals for Melchizedek Priesthood, Relief Society, Aaronic Priesthood, Young Women, Primary, Sunday School, and optional courses. Other languages and other materials will be forthcoming.

There are no current plans for creating Kindle versions, but there are a number of free programs available to convert ePub books for use on Kindle.