Using a .photography domain will not make your studio easier to find on Google. Even though their may be lots of buzz around the new URLs, local businesses like a photographer’s studio should use a .com domain.
With so many of the .com names already taken, newer photographers may be tempted to host their business’s website on a .co, .net, or even the new .photography domain. For example, if your name is Amy Adams, domains like AmyAdams.com, AdamsPhotography.com, and PhotosbyAmy.com might already be taken. So the temptation would be to purchase a URL like AmyAdams.co, AmyAdams.net, or even the new AmyAdams.photography.