As per me there is no any career section form one can see job related info but when university will publish any jobs related notification publish in Latest News & Events section which given in the right hand side :

Here I am providing recently closed Job Notification from Tamil Nadu Dr M G R Medical University - 2016
Office Assistant & Driver
Company Name : Tamil Nadu Dr M G R Medical University
Eligibility :Not Pursuing Graduation
Job Location : Chennai
No of openings : 6
Last date to Apply : 01-09-2015
Posted on :17-08-2015

Research Fellow
Company Name : Tamil Nadu Dr M G R Medical University
Eligibility :MS/MD
Job Location : Chennai
No of openings : 1
Last date to Apply : 08-05-2015
Posted on :30-04-2015

Staff Nurse & More Vacancies
Company Name : Tamil Nadu Dr M G R Medical University
Eligibility :MBBS,B.Sc,MS/MD
Job Location : Chennai
No of openings : 5
Last date to Apply : 30-04-2015
Posted on :28-04-2015

Address

The Tamil Nadu Dr. M.G.R. Medical University
69, Anna Salai
Guindy
Chennai, Tamil Nadu 600032