Update: I realized my answer is for the browser and not related to Socrata. I'll probably delete it soon.
Your core URI is
which is actually just a large JSON file.
It's possible to use the browser to filter the JSON file. After the core URI above, you put a question mark (?) and then the filters. For example, to get inspection_id # 1434955, the URL will be constructed as follows:
The key from the JSON file is inspection_id and the value is 1434955. These strings must match exactly, so it's most useful to use the complete JSON as a reference.
You can combine filters with ampersand (&). For example, this URI gives a JSON that combines all Zip Codes being 60649 and with Inspection Type being "Complaint"
The keys are things like zip and inspection_type, and the values are things like 60649 and Complaint. There is also the ability to give the browser JSON with more complicated filters (greater than, less than), but those will require some documentation from the data source. Normally you put a JSON-like piece of text in your URI (for example). If you use a browser tool like discussed here, I think then you can easily search text in the JSON file.
If you don't know programming, consider learning cURL (don't mind the tacky website, it's really a core resource). Also, there are browser extensions that may make the process simpler (for example).