If it's dated 1981 or later, face value only unless it's uncirculated, then maybe $60.
If it's older than 1981 please post a new and more specific question. Include its date and whether there is a small letter next to the date. The serial number is not important.
To clear things up, the bill wasn't made in Chicago. It was printed in Washington for distribution through the Chicago Federal Reserve District. Please see the question "What is the value of a 1934 A 10 dollar Federal Reserve Note?" for values and other information.
There were: 35,256,000 1 dollar bills printed ( Were Silver Certificates) 9,416,000 5 dollar bills printed ( Were Federal Reserve notes) 10,424,000 10 dollar bills printed ( Were Federal Reserve Notes) 11,300,500 20 dollar bills printed (Were Federal Reserve Notes) In total there were 66,396,500 bills printed for Hawaii.
Your bill was actually printed in Washington DC. Please see the question "What is the value of a 1934 A US 10 dollar Federal Reserve Note?" for more information. The cities shown on Federal Reserve Notes are the locations of the Federal Reserve Bank that requested and distributed the bills, not where they were printed. Until 1991 all bills were printed at a single plant in Washington; since then production has been shared with a second printing facility in Fort Worth. Separate print runs are made for each district that requests bills for distribution.
"G" is the Federal Reserve District letter rather than the series letter; if there is one it's next to the date. The fact that your bill is a Federal Reserve Note means it was printed in 1976 or later and is not rare. If you got it in change it's only worth face value.
No bills were printed in Chicago. You're most likely looking at the Federal Reserve seal that indicates which district distributed the bill. For values, please see the question "What is the value of a 1950 US 20 dollar bill?". Up till 1991 all US bills were printed in Washington DC; since then a second facility was opened in Fort Worth, but those are the only printing plants. They print bills for all 12 districts.
As of 04/2014, retail values are roughly $130 to $175 for bills in ciculated condition. An uncirculated one can bring $350 or more. All 1929 $100 National Currency bills are worth the same regardless of which Federal Reserve district distributed them. FWIW, the bills were actually printed in Washington at the request of the Chicago district.
$130.-$175. depending on how worn it is.
Please post a new, separate question that includes your bill's date and what letter, if any, is underneath / next to the date. To clarify, your bill was only distributed by the Chicago Federal Reserve Bank, not printed there. Prior to 1991 all US paper money was printed in Washington. Since then bills are also made at a second printing plant in Fort Worth.
It's still worth one dollar.
No, only for the Federal Reserve Bank of Minneapolis
Any $2 bill of series 1976 or later is worth $2. Also, the Chicago designation simply indicates the Federal Reserve Bank that distributed the bill. It was actually printed by the Bureau of Engraving and Printing in Washington.
They are shipped to banks run by the Federal Reserve System.