Can an American birth certificate be redeemed for money? Why is it printed on bond paper?
Why is an American birth certificate on bond paper?
Because it is an important document which needs to survive for a whole human lifetime. So it gets printed on paper which is thicker and of a higher quality than usual photocopier paper. This style of paper is traditionally called "bond paper" because it was often used for bond certificates when physical financial instruments were still a thing. But just because something is printed on bond paper doesn't mean it's a bond. This kind of paper is used for many other purposes. For arts and crafts, application letters, participation certificates, greeting cards, menus in fancy restaurants, business cards, etc. You can buy that stuff on Amazon.
And the reverse isn't true either. There is no regulation which says that physical bond certificates (if they even exist at all - most bonds only exist on electronic ledgers) must be printed on specific paper to be valid.
Can you redeem it for money?
There might be some shady people who might be very interested in assuming a false identity of an US citizen. They might be very intersted in buying a valid birth certificate. But willingly selling your birth certificate and thus your identity to a potential criminal would be a move which would be both illegal and extremely stupid.
You are referring to a specific conspiracy theory called the "redemption movement" involving the United States government, bankruptcy, and Jewish bankers.
Of course, there is no truth to this theory. (Thanks, @trashpanda, for the link in the comments.) Your birth certificate is not redeemable for money from either the United States government or any international bank, no matter which kind of paper it happens to be printed on.