Choose how you want to watch TV on your computer. The two main methods are via DVDs and via the Internet. DVDs are more reliable and will play on any computer with a DVD drive, but newer shows may only be available on the Internet.
Search for your show on the Internet. If your show is currently on the air, check the website of the network that airs the show. Most networks provide Internet viewing of recent episodes---often the five most recent.
Check out legitimate TV show sites like hulu.com. These sites partner with networks to provide free access to many TV shows, especially recently aired episodes of current shows. Such sites also provide access to many older TV shows.
Buy and download TV show episodes from online sellers such as iTunes. Many shows can be purchased in both normal resolution and high definition. You can download the shows to computers and portable devices for future viewing.
Use sites that make shows available as downloaded rentals. If you have a Netflix membership, you can watch many shows directly on your computer without having to wait for the DVDs to arrive. Sites like Amazon.com offer viewing of recent shows for a fee.
Search the Internet for shows you can't find on these sites. Several websites offer unauthorized TV shows, but the quality is generally quite bad, and videos are often removed due to copyright violations.