There is no official way to read Hotmail using HTTP(S). There used to be DAV but this has been phased out, here is the official statement:

Continuing DAV protocol retirement

Windows Mail & Outlook Connector both use a protocol named DeltaSync that is not documented.

Some people are trying to reverse engineer it like this guy: DeltaSync HU01 decompression code released, but there is asolutely no guarantee this will not evolve - in fact, you can be sure this will evolve :-)

So, you're better off with POP3: Hotmail and MSN Accounts POP3/SMTP Access