This movie rebooted the series in a clever way... sort of. It at least made sense of why Hugh Jackman was still Wolverine, while other characters were changed. Can I explain to you how any of it works? No. Not at all. All you need to know is that this is basically a Wolverine movie. They call it an X-Men movie because there are some X-Men in it, but like all X-Men movies, this is all about Wolverine. Wolverine time traveling to be precise. We all know that time travelling takes being very careful. We also know that careful is not Wolverine's strong suit. He messes up every step of the way.
What I love about this movie is that it shows the future where sentinels are hunting down mutants. Those were my favorite storylines from back in the 90s cartoon.