Reading will improve your English generally.  It won't teach you the actual rules of grammar, but your grammar will improve.  Mainly because the way the sentences are written will become fixed in your mind, and you will learn to form them in the same way.

• Begin with something easy.  If it isn't easy, you won't enjoy it, and then you won't practice often enough.  Children's stories are very good, because children are also just learning to read English.  

There are hundreds of childrens stories on the web - here are a few of them, courtesy of their authors:

Link coming shortly.
Link coming shortly.
Link coming shortly.

• Don't stop to use a dictionary every time you see a word that you don't understand. You will get bored.  Just keep reading till the end of the page and try to understand the meaning by guessing at the words you don't know.  This is good fun !!!

• It is important to enjoy what you are reading.  Decide on a subject that you like, and find articles on the internet about that subject.  If you like doing it, then it will be easy...

• Find a book that you have read and enjoyed in your own language.  Then find the same book in English.  If you already know the story, it will make it easier to follow.

• Read magazines that have lots of pictures - you can see what the words mean and you will recognize these same words on other pages.

You may find it hard to read a newspaper until you reach intermediate or upper intermediate level. Newspapers have a way of writing which can be difficult to understand if you are not a native speaker;  but don't let this stop you from trying.

Newspapers may write a sentences that have two different meanings;  or they may leave some words out of a sentence and expect you to understand.

Also they may suggest something, without actually writing it, and you must guess what they mean.  This is called 'reading between the lines' and can be hard - but it is a great challenge for a language learner !!!

The trick is to practice, practice, practice.  Remember your plan at the beginning?
Choose the amount of time that you can spend on English every week - and do it !

Here are more links to  online stories and articles:

Link coming shortly.
Link coming shortly.
Link coming shortly.