I am an english graduate from a non-law degree who wants to do a law conversion. There are very common in the UK but ideally I would like to study in the USA. I am having trouble finding information about them though. Do they have these courses in the USA? What are they called and how do I find out where offers them?

All Americans do non-law undergraduate degrees. Then they go to law school for a JD - a 3 year programme. There's no CPE/GDL (i'm a UK student!), as in a one year programme. The LLM is to be done after the JD or, for UK students, either after a law degree or after the conversion course.