No Vaidehi you don't need to register for any college separately.

Steps for the whole procedure for admission in any college:

• MAHCET 2018 result release - March 19, 2018 
• DTE CAP 2018 Notification - May 10, 2018 - On DTE Maharashtra Website
• CAP 2018 Registration starts - May 15, 2018 - Fill up the form online at DTE website with application fee
• CAP 2018 Registration ends - June 2, 2018 - Online at DTE Website
• CAP document verification starts at FC - May 15, 2018 - 180+ Facilitation Centres across Maharashtra
• CAP document verification ends at FC - June 2, 2018 - Better to do it before the last date
• Display of Provisional Merit List for Admission - June 5, 2018 - On the website, at FCs
• Last date to submit grievances at FCs - June 6 & 7, 2018 - Submit by 5 PM, if any
• Display of Final Merit list of candidates - June 11, 2018 - Seat Allocation is done as per merit score. Separate merit list for Maharashtra and All India category candidates
• Reporting for Admission - At ARC immediately after seat allotment
• Candidates should report and confirm admission at Admission Reporting Centre (ARC) else admission will stand cancelled

Feel free to ask if you have any more queries. All the best!!