One of the 20th Century's classic pocket pistols, made in .380 (or 9mm short) or in .32 ACP. Thin, small and "pocketable". Well designed and well built. All steel and no plastic. Easy to shoot well enough despite its dimunitive sights.
Date of manufacture is 1965, according to Browning:
This gun was also known as the 1955 Browning, depending on when it was made. These were no longer imported after the Gun Control Act of 1968.
Go here to read some very general info about it:
Value, like a car, or anything else, depends entirely on condition. The range is somewhere $250-$450 or so for used, depending on how used. More if it is really, really pristine.
If you want to post some good, clear photos of both sides minimum, a better assessment of value might be possible.