How can I learn the basics of Home Improvement projects?
Welcome!  You will certainly find lots of specific questions and answers on this site but not as many general how-tos; it is after-all a Q&amp;A site.

Firstly, you need some tools! There is a great thread on this site about the tools everyone should own, I suggest you give it a read!

The internet is a great resource and you will find answers to almost any problem or project you have.  If you are looking for some more general knowledge, I'd recommend taking a look at the books section of your local hardware store.  They usually have some good beginner books on plumbing, electrical, painting and other common around-the-house work.  This particular book rated well on Amazon in the "how to do everything" category.  Certainly high up on the list of common tasks for home owners are basic electrical and plumbing: Changing light fixtures, switches, dimmers, thermostats, unplugging drains and toilets, replacing faucets and/or components.  Typically, the easier projects revolve around replacing existing components , whereas more complex projects involve new installs or big modifications.

Also take a look at this sites blog as it has some good walk-throughs.

If I can give you any advice it is that you can do anything you put your mind and hands to - don't be afraid! Read-up and give it a try!  But also know when you are in over your head and you should bring in a pro.  Stay away from serious electrical work, and never try anything gas-related on your own.

Good luck and have fun!