No star means it's a normal circulation bill of the time. It's worth $1.25 to $1.50 today.
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A silver certificate star-note would normally be worth around $5 or so, depending on how worn it is.
About $9 - $10 if it is in uncirculated condition.
On average, a 1957 $1 silver certificate is worth about $1.50. Despite being more than 50 years old, it's an extremely common series.
If the bearer can redeem the note into silver metal, I would guess it is worth the going price of silver on the day the bearer exchanges it or sells the metal.