Google Uses Weather Underground API to provide current weather information. They stopped issuing free API keys which you can use in your applications. You can search for public API's that provide weather data. One of them is Weather API provided by OpenWeatherMap. You can browse to the link provided below and signup for the account and you can generate keys.
After generating the API key you can use them in your application and make calls to this API providing query parameters using MATLAB function "webread". To get more information on how to use function "webread" refer:
I am providing a simple example of using "webread" with OpenWeatherMap API.
key = 'YOUR_API_KEY';
options = weboptions('ContentType','json');
url = ['https://api.openweathermap.org/data/2.5/weather?q=', 'London','&APPID=',key];
Current_Data = webread(url, options);
You can browse through API doc and get familiar with how to use it depending on your requirements. Also, you can use other public weather API's as well depending on which one you feel suits your application the best. But the procedure to read from an API would be the same.
