.38 Special cartridges
I would suggest any standard brand .38 Spl not marked +P
When you look at .38 Spl for sale you will find a wide choice of bullets. The standard at the time of manufacture would have been 158 grain lead round nose. (LRN)
Full metal jacket or total metal jacket is fine too, as is a flat point or semi-wadcutters.
A wadcutter is a flat across the full diameter and is usually more expensive as its a target shooters round useful for punching nice clean large hole in paper (for a slight edge in scoring higher).
You can use slighty lighter bullets for slightly less recoil or if they happened to be available for less money. As a beginner I don't think there is enough of a difference for you to notice or care. Bullets around 130 grains are common.
When you go to shoot, its best to have someone experienced, but if not here's what I'd suggest.
Go over basic operation of the revolver with the gunstore people. How to load and unload, how to safely decock the gun from single action, and basic cleaning (inside the barrel and cylinder bores, and the ejector).
Learn the 4 fundamental safety rules currently promologated.
Wear ear protection.
Know the sight picture and bring a reasonable size target for the distance you will shoot.
Use a stance(s) that is comfortable for you. I would start with a two handed Weaver type or isoscolese stance.
Some people are really opposed to learning single action, but I disagree with that. Its useful for focusing on sight picture and other fundementals. Double action should be learned, but it is another skill to add on. Furthermore, your revolver has the 'long action' hammer.
The spur of that hammer somewhat obscures the rear sight. So I suggest shooting single action until you feel confident with the natural point of aim and the site picture. Then when shooting double action you will see the site picture briefly as the hammer moves back.
The reason for this it seems is that at the time, single action was for aimed shots and double action was for situations with limited time and close distance.