Colleges in Nagpur

No, it's legally not valid. Students should not be allowed to undertake two regular degrees at the same time. On January 19, the University Grants Commission (UGC) said that its consultations regarding allowing students to pursue two degrees courses simultaneously have not received a positive response so far. According to a report in Press Trust of India (PTI), UGC said in a post, "It had sought the comments of statutory councils but the responses so far do not endorse the idea of allowing students to pursue two degrees simultaneously".
According to the notice signed by UGC Secretary, Jaspal S Sandhu said, "Therefore, the Universities shall conduct their programmes in accordance with the first degree and Master's degree Regulations, 2003 prescribed by the UGC and also follow the norms and parameters prescribed by the Statutory Council concerned, wherever relevant".
In 2013, an expert committee of the UGC had recommended that students enrolled in a regular degree course should be allowed to pursue an additional degree simultaneously under open or distance education mode from the same or different university.

Hello Vaishnavi,
Yes, indeed. You can definitely seek admission in GMC based on your NEET ranking. However, this year DMER is not the agency. I am attaching a link through which you can register. This year's Health & Science Admission Process is started and also, there are some changes, now DMER is no more a counselling authority, those who are interested in Health Science courses such as MBBS /BDS/BAMS/BUMS /BHMS/BPTh /BO&P/Both/BASL /B.Sc Nursing and appeared for *NEET UG 2019* must register at Setup Assisted Application Registration (SAAR) & upload required documents & also verify your documents with your the nearest Setup centre:
https://www.maha2019cap.org/Student/Registration