It looks like it's Vernazza, one of the Cinque Terre - five very cute and colourful towns on the Italian coast. The photo seems to be shot as much the same as this image, but flipped for some reason:
Image by chensiyuan [ GFDL or CC BY-SA 4.0-3.0-2.5-2.0-1.0 ], via Wikimedia Commons
Unfortunately, your visit might be more difficult than you'd like. Some media reports say that local government are limiting tourist visitors with a ticketing system - so you'd best work on getting your hands on those tickets. However, other websites seem to dispute the existence of these tickets, for example, inqinqueterre.com says:
Attention! There are no restrictions on visiting Cinque Terre in 2016! Do not trust unverified sources of information that spread the news of the visitors’ limitation - this information is not correct!.
It is possible that in reality the number of tickets for walking certain footpaths in the area will be restricted but Wikivoyage among others indicate that there are numerous non-ticketed footpaths.
As I can't find any official sources on limiting visitors, I am somewhat doubtful of the reality of this ticketing system.
It's also worth noting that the colours won't look quite as vibrant in reality - the saturation and colours in that image are definitely tuned up.