Helpp!!! Lemons the kinds and how to get them....

[SidzDes]

Hi i'm really interested in growing lemon trees.. I already have brought one from a local nursery its abt 2ft, with small leaves and fruits that are still kinda not ripe...I've placed it on my rooftop in the large sized pot, i'd like to know what kind it might be and how do i take care of it and what to expect...
what i want to ask more is that are they other varieties of lemon trees and where do i get them and can i grow them on my rooftop in large containers???

Hope to hearing from someone soon..

P.S: my house is west facing so there's plenty of sunlight and i water my lemon tree twice a day...

[Izhar]

There is a lot of discussion on the lemon growing already in this forum, it is suggested to please go through it..