The pawls should tick rapidly when coasting and tick at a moderate pace when in Normal or High gear. If when you get the hub that is free and the pawls tick properly, a simple flush and lubrication will usually suffice.
Unfortunately a good number of these hubs have been sitting for 40+ years and need more help. If after lubricating, the hub the pawls do not tick in Normal or High gear, an overhaul is recommended. The hub should be disassembled and the parts cleaned. You can do this any number of ways. I've used mineral spirits, acetone, WD-40 and any of those will work to clean the parts. An ultrasonic cleaner with Simple Green and water also can be used.
Lubrication can be done any number of ways today. In both cases lubrication is done based on the sound of the pawls. If the pawls sound very metallic and make "ping" noises, the hub is too dry. If the pawls aren't sounding or sound "gummy" or weak, then there's dirt or grease contamination on them.
Traditional method: grease only in the dust cap channels. Light oil everywhere else. You can use 20-weight oil like 3-in-1 blue bottle (not the black/red one), SAE 20 weight motor oil, sewing machine oil, etc. These have to be oiled on a somewhat frequent basis (every couple of weeks). Oil will run out the sides eventually. But this works fine - just keep a rag handy to keep the wheel clean.
Modern method: use a slick grease like Lucas green on the cone/cup/ball bearing surfaces, and oil for the internals. Oiling is less frequent (maybe once per month) because the oil won't leave the hub as easily. Don't use old-style, sticky brown axle grease with this method.
I use the modern method when rebuilding a hub. Modern greases tend to be slicker and less prone to gumming up the bearings than the brown axle grease available at the time these hubs were made. The grease helps hold in the oil and there's less mess. But either way will work.
[Modern SA hubs without oiler ports are dealt with differently, generally using modern semi-fluid type greases rather than traditional oil.]