Chinese Elms can exhibit some variability in their leaf size and shape. Perhaps you are familiar with another variety. Also, it looks like this tree just had a good pruning and I'm betting the leaves won't stay quite this small.
I used to have a four way comparison of different Chinese Elm leaves but my image host seems to have lost it and I'm on a secondary computer after a crash so I can't post it again right now. Did you check my picture at the link I posted above? Zelkova leaves are much larger than Chinese Elm.
Yes, this is a good species for new growers but will do much better if you are able to keep it outside. Inside you should consider supplemental lighting, such as simple fluorescent tubes or CFL's. Humidity in our homes is very low as well and a humidity tray will help.
I keep mine outside (goes double for Zelkova, BTW) although some do keep them indoors. Chinese Elms are sub-tropicals and don't have the same strong dormancy requirements as temperate species, although most knowledgeable growers seem to agree that at least a brief dormancy is beneficial.
I have never tried to keep one inside full time. Last year I did bring one inside aroung Christmas after it had a short rest period and it leafed out fine. It is now outside with my others and I'm not sure I'll take the same approach this year. I might just leave it out (in an unheated garage) all winter.
Search the forum, you'll find many threads concerning this species.