First person, no good judge, is unappreciative type (7)
I believe the answer is:
ingrate
'unappreciative type' is the definition.
(I've seen this before)
'first person no good judge' is the wordplay.
'first person' becomes 'I' (first-person pronoun).
'no good' becomes 'ng' (abbreviation).
'judge' becomes 'rate' (rating is a kind of judging).
'i'+'ng'+'rate'='INGRATE'
'is' acts as a link.
(Other definitions for ingrate that I've seen before include "No thanks, I say!" , "Unappreciative character" , "Thankless wretch" , "one offers no thanks" , "I'm not appreciative" .)