Do read the last surahs first as they are shorter and were mostly revealed first for the nonmuslims. The Surahs at the beginning of the Quraan, on the other hand, have laws related to Muslims and Islamic state and are much longer so take a lot of time to read.
Therefore read the last surahs first. You can read one Surah in little time and try to grasp the meaning. If the Surah is long or you have little time, then read only part of the Surah. There is no need to read for long amounts of time. Remember, the Quraan was revealed over 23 years so it's okay if you take your time.
You can read the surahs online at
http://noblequran.com/translation/index.html . I prefer the Noble Quraan translation as it has been beautifully translated.
If you can get the commentary, then do read a few verses with commentary when you have time as it will help you understand the Quraan better as the Quraan was revealed according to circumstances. You can get Ibn Kathir's commentary or The meaning of the Quraan by Saeed Abu-Al Ala Maoududi's commentary. Contact your nearest Islamic center /bookstore for more information on how to get commentary. You can also read them online. (someone may be able to provide a link to a good commentary site.)
The Quraan is a very complex book as it not only contains guidance and stories of past nations but law as well, yet it is so easy to understand! If anyone has tried studying law, they will know how difficult it is to read codes of law, but the Quraan is not like ordinary law books. Being the Word of God, it is very easy to understand and one doesn't get bored from reading it!
Even still sometimes I find it hard to concentrate when reading the English translation. i don't have the same problem with the Arabic Quraan which is why I prefer to read/listen to the Arabic more than the English. If all new muslims could learn Arabic, it would help them see the awesome beauty of the Word of God for themselves. If you can listen to audio Quraan in Arabic with translation, it might be helpful. Again listen to last Surahs first, starting with Juz (part) 30 and going backward. Listen (or read) as long as you can concentrate. When you see yourself reading without focusing, then take a break for a while.
Another thing you can do is read surahs randomly. There is not need to read the Quraan from start to finish. Just choose any Surah from anywhere in the Quraan and read it (whole or part).
Hope that helped. If you have any more questions, please don't hesitate to ask.