hey jahanvi , since your score is very less to secure a decent goverment seat for mbbs in any college so you have the only option remaining is applying for private college.yes ,you can get private medical colleges in gujrat by management quota or through donation.some colleges are  Gujrat medical education and research society,GMERS medical college and hoslital , AMC MET medical college etc.

Hi, jahnavi.

Neet is an all India common entrance examination for the medical aspirants to get into the undergraduate courses in both government and private colleges. 

As you got 377 marks, you are eligible for the admissions into the following private colleges 

GMERS MEDICAL COLLEGE, CIVIL HOSPITAL GANDHINAGAR

GMERS MEDICAL COLLEGE, DHARPUR, PATAN

GMERS Medical college, HIMMATNAGAR

SMT. NHL MUNICIPAL MEDICAL COLLEGE

PRAMUKH SWAMI MEDICAL COLLEGE, KARAMSAD

CU SHAH MEDICAL COLLEGE, SURENDRANAGAR

Please check the link below for the accurate prediction of colleges 

https://medicine.careers360.com/neet-college-predictor?icn=NEET_clgpd&ici=sticky-qna-wap

Goodluck