Berts's link is a good overview of the Cz 24, which is what you have (and a very early one). Ed Buffaloe's site is very good on Czech pistols.
It was designed by Josef Nickl, a German who worked for the Mauser-Werke and originally offered the design to Mauser. It's closely related to the Mauser M1910/14/34 small pistols, which were also Nickl's work, and is unusual in that it's a locked-breech pistol in .380. It was made at the CZ plant in Strakonice, as the UB plant wasn't built yet.
The Czechoslovak Army of the 1st Republic was taken over in a bloodless invasion by the Nazis, and they used lots of Czech equipment. A lot of the Czech stuff went to police and SS units, but since much equipment was compatible with (and sometimes better than) the German, it was very widely used.
The usual disclaimers about gunsmith inspection apply, but if the parts (slide, frame, barrel) are original, it should be perfectly safe to shoot. Because it's early, in good condition, and has papers and provenance, it would draw a premium from collectors, but while there are many guns like it, there's only one in your family!