Jmeter extracting fields/parsing JSON response

I am not sure about your plugin but if it supports JSON path expressions it should be possible.
Try with this expression: $.[0].Name.

This is the plugin I use: http://jmeter-plugins.org/wiki/JSONPathExtractor/ and given expression works with it.

You can find more about JSON Path expressions here: http://goessner.net/articles/JsonPath/index.html#e2.

We can add a regular expression extractor for fetching the value from the response.

Like This:

Using Ubik Load Pack JSON plugin for JMeter which is part of JMeter since version 3.0 (donated plugin) and called JSON Extractor, you can do it:

Test Plan overview:

ULP_JSON PostProcessor:

If Controller:

And here is the run result:

So as you can see it is possible with plain JMeter

If you're looking to learn JMeter, this book by 3 developers of the project will help you.

Working with JSON in JMeter is not quite easy as JMeter was designed long ago before JSON was invented. There are some extensions however that make life easier:

http://www.ubik-ingenierie.com/blog/extract-json-content-efficiently-with-jmeter-using-json-path-syntax-with-ubik-load-pack/