If the RESTful interface returns JSON, it looks as simple as installing a small plugin:
http://www.mathworks.com/matlabcentral/fileexchange/20565
and ((almost) directly from the readme of this plugin):
google_search = 'http://ajax.googleapis.com/....'; matlab_results = parse_json(urlread(google_search));
I think the good thing about RESTful interfaces over SOAP or something else is that you don't need excessive mechanisms to solve this problem. I am sure that if the interface does not return JSON, it will be something similar that you can parse.
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