Most of it has a similar plot to the original, while the rest of it has elements not from the original game. So in short, it's not a duplicate of the first game, but a remake that reinvents what was already established in this original.
Harry Mason wears glasses, while in the original he didn't wear any.
Harry doesn't carry any weapons in this game, so every time he encounters a demon he has to flee as fast as he could.
The time period was changed from 1983 to late 2000s. Hinting that Harry owns a smart phone.