Yes,lawyer will receive H1B receipt if you were picked in H1B.The way this H1B lottery works is if you get your receipt early(normally within 1 month)then you are selected in H1B.USCIS must send rejection notice by the end of July(last year all notice was delivered on 17 th July)
I think you still have some time to find out,keep bugging your lawyer/employer for the update.
Good luck!!