Remember shared folder on server I'm new to Mac.

I have files on a shared folder that I often access and every time I restart the computer I have to go to Finder->go->connect to server->fill in the information and press connect. Is there a way I can always have the shared folder available and have the computer remember my password for it?
Yes, the "+" button to the right of the pathname text field will save the path for you.

Also, when you authenticate to the server, there should be a checkbox beneath the username/password fields.  The checkbox should read "Remember this password in my keychain."  If that's selected when you successfully authenticate, then your credentials will be saved to your keychain and used automatically when you try to connect.