Is it possible to get some simple data from a webpage and putting it on a DE via Web&Mobile Analytics? Something like "How many people visit the page today" or "Which pages have been clicked most?" Otherwise, should I use Google Analytics?
Yes, but only manualy. For each Tile in Web & Mobile analytics you can drill down to selected audience and export it to data extension by clicking in orange arrow icon. This will create a data extension in Web & Mobile Analtics folder, but it will only contain data for identified visitors. Documentation avalible here