The back of the current design American $1 note depicts both sides of the Great Seal of the United States. If there are hidden cryptic messages to be found, they are there because they are on the Seal, not on the note per se.
The "front" of the Seal is the coat of arms of the United States. This design has been used as seen on the note on official Documents of State (Treaties, Presidential communiques, etc) since 1885; earlier versions of the Seal used cruder, less realistic-looking eagles and had other design differences.
Unlike the front, the "back" of the Seal, the part depicting the Unfinished Pyramid, does not physically exist. Although the design was set down by resolution in 1782, it was never actually cut into a seal. The 1782 resolution expected the Seal to be used pendant-fashion, as was normal for the time and which would have necessitated both a front and back die, but pendant-seals went out of fashion shortly afterwards so an actual seal depicting the reverse has never been needed, and therefore never been made. The one depicted on the note is therefore an artist's interpretation of what it
might look like, if they were to make one.
As for the symbolism: yes, some of the symbols used on the Seal, particularly the pyramid-side, are also used by Freemasons. It should be recognized, however, that the symbols are actually older than either the United States or modern Freemasonry. The Eye of Providence, for example, was popularized by artists during the Protestant Reformation who desired to depict God in their artwork in some fashion that did not appear too "Catholic-looking". The oldest known record of the Freemasons using the Eye, on the other hand, is 1797, 14 years
after the resolution describing the Seal was passed. So if anything, the Freemasons borrowed the idea from the designers of the Seal, not the other way around.
Some of the myths concerning the $1 bill, including the "eagle turns toward the arrows when America is at war" and the "secret owl", are explored in
this old thread.
Don't say "infinitely" when you mean "very"; otherwise, you'll have no word left when you want to talk about something really infinite. - C. S. Lewis