Welcome to Talkbass. If you do a search you can find plenty of threads on note reading/site reading, as the subject comes up often, there might also be some links to charts showing all the notes on the fretboard.
Anyway, a (good) teacher can be beneficial in helping you with this.
You might want to start off with learning the open string names, which are
E, A, D, G. So, for example, the first fret on your E string is obviously going to be F, followed by F#, G, etc...Once you become familiar with the note names you can try picking out notes around the fretboard. You can guess, for example, where all the Cs are on the fretboard and then where all the Gs are. Other exercises I like to do are 2 octave scales up and down the fretboard, as well as playing the chromatic scale (being sure to be aware of what notes I'm playing).
Hope this helps.