To read the original Quran, written and read in traditional Arabic language, you first have to know Arabic letters, which are only used in a few languages. Learn their sounds exactly, knowing where they are articulated. Then, you should find a teacher to correct details of your pronounciation. Learn Quran with Tajweed even if you cannot find teachers, anyway. If you believe that proper recitation of Quran is very important, this should not stop you.
There are many records available now, in old-fashioned media as well as online. Those that are meant for learning leave some pauses for students to repeat. Some teachers even offer lessons with voice chats in the Internet so you can have lessons almost as in real learning with teachers, where someone can correct you instantly and explain your concerns.
Each letter has its »rights«, characteristics that it always has, and »dues«, characteristics that depend on the situation, for instance, whether the letter is on the end of a word or not. In their interactions, when they change or even cancel each other, sounds behave almost as if they were alive.
Tajweed was developed together with Arabic religious texts. It is not clear whether only Quran was the source of the rules or they were also shaped with reading Hadith, which supplements the holy book. In any case, Tajweed is now one of the most honoured sciences. It is being preserved, probably unchanged, by teaching it to new generations ever since the revelations to Prophet Muhammad. With spread of Islam to non-Arabs, it became even more important. Muslims are still required to learn it and use it to their best ability and communities must have at least one excelent recitator each.