The Court posts recent opinions, docket sheets, briefs, court rules, operating procedures, filing information, pattern jury instructions, and more (www.ca7.uscourts.gov/). Free opinions are available from Google Scholar (1920s-present) FindLaw (1996-present) and LexisONE (back 10 years). For deeper databases, nicer printouts, etc., get opinions from Lexis, Westlaw, LOIS, FastCase and/or Versuslaw.
Oral Arguments: The Court posts recordings of oral arguments starting in 2001. You can search transcripts of oral arguments on Westlaw (CTA7-ORALARG for arguments before 7th Circuit or ORALARG-ALL to search all the oral argument transcripts available).
Practice Guides: See The Attorney's Guide to the Seventh Circuit Court of Appeals from the Wisconsin Bar and/or the Practitioner's Handbook, posted free by the Court.