to smoke beer

Usually means using cigarettes to inhale beer.
Putting a hole in a beer container then putting a cigarette in there and smoking from where you would normally drink.
This is basically considered a drug and I highly advice against doing it because you can develop asthma and get nasty infections.

The term smoking beer is used whenever you find some beer hops and it's there like no frickin way and then you smoke it, you smoke the beer