That is a smith and wesson chambered in a 38 special. Generally a very reliable gun chambered in a fun caliber to shoot. It looks from the picture to be in good shape. I would throughly clean it before shooting. Make sure the gun is in proper working order. Cylinder should rotate when the hammer is cocked back ect. If you have any questions about it take it to your local gun store and let someone behind the counter take a look. Tell them your new to guns and want to make sure the gun is safe to fire before you shoot it.
Also with you being new to guns google cats corner and read through that website to get some insight on gun safety. Also look into sone type of gun safety course at a local range.
And death climbs the steps one by one, To give you the rose that's been burnt by her son, Point me to the sky above I can't get there on my own, Walk me through the graveyard Dig up her bones