Not sure which 'updated tool' you mean. CC has two different site builders now, the HTML Editor and Site Designer.
You can import your pages into HTML Editor ('Editor' for short), but the code created by VSD is so old and past its sell-by date, that I would not do it.
I reckon that the reason why you want to import your pages into something more modern in the first place, is that you want a more modern-looking site. To achieve that, you need to change so much of the old code that creating a new site from scratch will seem a relief.
As to Site Designer (SD), you cannot import existing web pages. But what you can do is create a new layout and copy/paste your old text and images. Not the code or anything 'under the hood', just the contents.
My guess is, that since you built your site with VSD, you may not be so very 'code savvy'. If I'm correct, using SD would be the best way to go. If you get stuck with it, there are many SD users here who may offer you help and advice, you just need to ask.