No, I don't recommend that book, whatsoever... I know that you are just starting to learn Japanese so I'll tell you as I've told other people what I think is the best way to go about this...
Learn hiragana completely, the book I recommend for this (and katakana) is
Remembering the Kana. You'll learn katakana as well, but I feel that you can have a looser grasp of that than is needed for hiragana....
After that chose a situational, staged course material that very quickly introduces the hiragana you've already learned, and ramps up to kanji...
Right now my best recommendations for current literature are for either
Minna no Nihongo, or
Genki.
I get a lot more use out of
Jim Breen's WWWJDIC than I do an actual dictionary at the moment, you really shouldn't concern yourself with a kanji dictionary until you've mastered a good 500 kanji...
In any respect
The Kanji Learner's Dictionary comes highly recommended...
Aside from that there are countless amount of books on grammatical points in Japanese, particles, verbs, adjectives, basic grammar... Complex sentence structure, et cetera... A lot of the books you find at your local bookstore will be dross, meant to sell people the "idea of learning Japanese" more than teach them Japanese... read around the forums and you'll find various peoples discussions on books.
If you have a specific question on a certain subject of Japanese grammar, I could recommend a book.
I also highly recommend the following...
Learn Japanese Online with Podcasts - JapanesePod101
http://www.mangajin.com/
& the following books from the magazine, or the magazine's translation editor...
Basic Japanese through Comics I
Basic Japanese through Comics II
Japanese the manga Way
...don't let the subject matter fool you. Manga is an excellent way to learn natural colloquial Japanese, and on top of that, it makes learning fun... which should be important if your going to commit time to learning a language.