Can I store and see my pictures and music from my iPhone or iPad?

The answer to this is NO.. with modifiers.

You can store your music and photos on the Time Capsule.. which I do presume is what you mean.

However the TC is not a media server.. it is a dumb as a board file device. And ipad and iphone are not files devices.. Apple has tried hard to remove that layer from you.. albeit you can buy a file browser app.

So iTunes must be running on the network in order for you to access your music or pictures..

Using the TC merely as hard disk storage area is not wise.. it was not designed to do it.. and for iphoto at least Apple says don't do it.

The way to share itunes and photos in the network is using home sharing.

How to share music and video with iTunes - Apple Support

There are heaps of articles on sharing on the apple website.. just google home share itunes.

Now you could put your itunes library on the TC but you would gain nothing.. a computer still must be turned on.. and it will be slow and not able to be included in the backups.

NOTE.. Apple says you will eventually corrupt iphoto if you put it on a network drive.. it must be local.

http://support.apple.com/kb/TS5168

http://support.apple.com/kb/HT1198