I am trying to access the fields which I can see in this particular layer. I am able to see that it has fields but fetching the values in those fields is something that I am unable to do. Is there someway to do that?
Just use the REST interface 'Query', scroll to bottom of page that you gave, here is a query for OBJECTID > 0, shows 98 records.
Where field: OBJECTID > 0
Scoll to the bottom of the page you gave and click "Query". To return all features in the layer, enter "0=0" in the top text box (labeled "Where:"). "0=0" is a true condition for all features. Leave all the other text boxes blank and press the "Query (GET)" button at the bottom of the form.
Did you try to get objects from this particular layer?
Your layer has /query endpoint, where you can query for objects on your layer Layer 0: Query
On this layer there is 98 objects. One sample object is OBJECTID:6