Other than the fact that Gundam Wing has pilots with mobile suits called Gundams and people living in space on colonies, the show shares no real connection with the original Mobile Suit Gundam story. The story for Wing takes place during After Colony 195, which s well after the One Year War from the original.
In this series, the Gundams are piloted by 5 mysterious pilots, all originating from different space colonies. Each of the 5 Gundams was created by a scientist from these respective space colonies. The Gundams are sent to Earth with the pilots to change the war between the Earth and Space Colonies into the Colonies favor.
I won't go an spoil the story for you by disusing every last detail, mostly because this was a really good series and can be appreciated a lot more when you go into it without knowing all of the details. The only thing that I will say about the story was that it seemed a little one sided with regards to characters. There were 5 powerhouse Gundam pilots and only Zechs as the powerhouse for the Earth Forces. This made the show seem a little unbalanced.
The other elements of the show were well done. The animation was very clean considering the show was animated in 1995. The music used was also very well utilized. I am very drawn to the intro theme, "Just Communication" by Two-Mix. Another strong element to the show was the lack of filler. Even though the show is long at 49 episodes, I did not find myself watching a number of episodes to have to get to the point. This is very important when watching a long series like this. Many of the newer anime tend to put too much filler in and the show becomes monotonous. I personally found that I was not deprived of story content or action with this show.
As a huge fan of Gundam, I am a little biased so of course I will recommend this show to everyone as a masterpiece. While attempting to be objective for a moment here, Gundam Wing would be best suited to audiences who are fans of mecha, enjoy having thought provoking themes introduced with regards to the ideas of war and life, and can sit through 49 episodes with no problem. If this sounds like you, then I would suggest adding this great series to your collection!