Hello, and welcome to the forum.
Congratulations on your new Luger.
It looks to probably have been refinished, and would be considered a "shooter" especially as it cycles properly according to your description. Many of these shoot to a high point of aim compared to modern handguns because they were sighted for a different distance.
You'll probably make good use of our FAQ PDF document. It's free to download and has quite a bit of good reference informaiton.
Just follow the FAQ link at the top of every forum page.
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 Igitur si vis pacem, para bellum -
- Therefore if you want peace, prepare for war.
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