a good pavement...
in my hereabouts there's a lot of humidity, (it's an ex-swamp) and quite often, the floor collapses under the weight of heavy machines during the time. how fast depend on how much it works, quality of the floor, humidity beneath.
working on warped floors, may cause a little chassis warp (not in a definite way for the chassis though, it's still an elastic object).
it can still work with good tolerances, but it could be source of little errors, depending on how big are the items you're working on.

couldn't understand how heavy is your lathe by that pic.
if it's an heavy duty one, take care of sharing the weight on the widest surface, for not damaging the flooring.
more over as a general rule, take care of having the supports well levelled. you can verify that with an "air-bubble-in-water" level on the turret slides (sorry, donno how it's called).
it's up to the precision you want to take out of it. but since you got it, some little affordable precautions will make it better.
maybe some machine tool installer can give you some more advice about this.

you may also find useful technical high school books on that matter, (as i did). for the start, there are just a couple of multiplication to do, to figure out speeds. once learnt that, you'll learn using it, same as for any other device, machine, car... then for advanced skills, any info comes handy. don't worry too much, it'll be a piece of cake for you too.

hoping this is useful...
keep us posted mate!