The modern Greek alphabet poses relatively few problems for learners, assuming that you don't already know Ancient Greek. Many of the letters have radically changed in pronunciation since antiquity, including ?, ?, ?, ?, ?, ?, ? and ?. The spoken distinctions between omicron (?) and omega (?) have disappeared, as have the distinctions between eta (?), iota (?) and upsilon (?).
Modern Greek has 24 letters and several digraphs. There is usually one stressed vowel within a word, shown with an accent mark (as in ??????, mother). For more on the Greek alphabet and to hear the entire alphabet pronounced, visit foundalis.com (see resources below).
??????????? (Filoglossia--see resources below) provides an online version of a beginner's Greek textbook that takes users through 10 lessons based on applicable, real-life situations. Progress through each of the lessons, taking advantage of the multiple audio resources, texts, exercises and grammar hints provided when you click the professor.
Kypros.org offers one of the most complete courses in Modern Greek online, and is an excellent place to begin your learning. After registering for free for Greek 101 (or perhaps 102, if you've already completed the ??????????? course), students gain access to 15 audio lessons with written guides and transcripts of the lessons.
Progress through the lessons in order. Start the audio at the top of the page and follow along as the hosts of the lesson guide you through the written material. Once you've completed the course of 15 lessons, you may register for other free courses with Kypros, which go through the advanced level (302).
My Language Exchange (see resources below) pairs users who speak different languages so that they can learn from each other. By pairing with a native Greek speaker, you can benefit from real-time online interactions in Modern Greek vernacular, but also help her improve her English skills.
Study for at least an hour every day to make sure you make quick progress. Keep an organized notebook so that you can reference your notes later. Even if you feel you've acquired a vocabulary item, write it down, as this will help to solidify it in your active vocabulary. Always make use of audio resources, like those found at Kypros and ???????????, as Greek has many sounds that English speakers may find difficult to produce.