This depends on your program. Second bachelor's degrees are not eligible for federal aid, but since this is a post-bacc, it may be. Typically for post-bacc programs like this, financial aid is limited to 2 semesters and students can borrow a total of $12,500 in unsubsidized loans only - you will no longer be eligible for Subsidized Stafford loans due to July 1, 2012 regulations.
You can try using the FAFSA4Caster
to estimate your aid, otherwise it may be best to sit down with a financial aid administrator to get your program-specific questions answered.