You can obtain DB by visiting the Sleepycat download page: http://dev.sleepycat.com/downloads/latestreleases.html.

To install DB, untar or unzip the distribution to the directory of your choice. You will then need to build the product binaries. For information on building DB, see DB_INSTALL/docs/index.html, where DB_INSTALL is the directory where you unpacked DB. On that page, you will find links to platform-specific build instructions.

That page also contains links to more documentation for DB. In particular, you will find links for the Berkeley DB Programmer's Tutorial and Reference Guide as well as the API reference documentation.