Every battalion does things differently, but you can expect an orientation that takes place over a few days, including an APFT. There may be a contracting ceremony for scholarship students who have passed the APFT and for upperclassmen, scholarship or not, who have been admitted into the Advanced Course. I don't know if they will provide uniforms to non-scholarship cadets - they didn't used to.
The best person to contact for a schedule is the ROO, but the most reliable way to get info may be to get to know the administrative assistant/secretary to the PMS. That individual has probably been there for years. Find out in advance if there is any paperwork you need to fill out or medical or other records (e.g., birth certificate) you should assemble.
No reason to be nervous - the number of non-scholarship students will be larger than scholarship winners. As suggested by others, the best way to get favorable notice is to do well on the APFT. Many of the new cadets will fail one or more parts of it.