Yes, if you perform well in UPSEE exam you can get admission in colleges which are under UPSEE.

You can check the eligibility criteria of UPSEE below

You must have passed the qualifying exam without grace with minimum 45% marks (40% marks for SC/ST Category candidates) in aggregate in required three subjects.

To check the complete eligibility criteria you can refer below link

UPSEE Eligibility Criteria

Good Luck!!