Polytechnic in Pune

You can refer the following link for the detailed information about the admission procedure at Government Polytechnic Pune.
https://www.shiksha.com/college/government-polytechnic-pune-shivaji-nagar-4235/admission
For the information about direct admission in second year you need to visit government Polytechnic. They will tell you whether they give admissions directly in second year or not. If yes, they will tell you the procedure for the same.

Yes, you can get a good government college but you should be clearing their entrance exam and must have scored well.

Admission is based on the marks obtained in class 10th.
Eligibility:
Candidate must have passed 10th standard or its equivalent with at least 35% aggregate marks.
Candidates passing 10th standard from Maharashtra State Board must have Maths/Mathematics (Code 71) and Science & Technology (Code 72) as compulsory subject.
Admission Process:
Admission is through Centralized Admission Process of Maharashtra based on marks obtained in class 10th.

You can get all details about government Polytechnic College in Pune. https://www.google.com/amp/s/www.shiksha.com/college/amp/government-polytechnic-Pune-shivaji-Nagar-4235
I hope this information is helpful for you.

Yes, you can get admission in Government Polytechnic College, Pune in Diploma in mechanical engineering course under institutional quota only. For more details regarding admission and institutional quota directly contact the concerned college. The eligibility criteria for this course is SSC/10th with science & maths with 35% of aggregate marks.