The thing is, PDFs can be viewed by several programs, including Acrobat, Reader, Preview, and several others. Each can be set to view a PDF differently, and I'm not sure there is a way to ensure that everyone who opens a PDF will view it the way it was intended by the author. If it's just you, you could set your PDF reader to view the way you like. In Acrobat, it's done by going to View>Page Display>Two-Up Continuous, and View>Page Display>Show Cover Page During Two-Up. You can also have the facing pages butt up against each other or have a gap.
It's a view setting in Acrobat called Two-Up with a Cover Page (Yours is showing Two Up with a Facing Page). You can set it up in Acrobat with File > Properties > Initial View or specify it in InDesign with File > Export > PDF (Print):
Hey, thanks a lot for the replies. Yes, it works !!!
It is as you said, Two-Up with a Cover Page
Thanks you all !!!
And Merry Xmas
Yay! And Merry Xmas to you!