Yes tab is fine for now and for looking up how a specific song, riff, etc. is played, however, I'd suggest you start using fake chord, lead sheet or standard notation. Why? First, if you are like me I can not remember more than five complete songs, using tabs, at any one time and I want to be able to play more than five songs. Second, bands do not pass out bass tabs they pass among themselves fake chord or lead sheets. Sooner or later you need to be able to play from those.
Give fake chord a try and see where it takes you.
http://www.guitarzonline.com/free-beginner-guitar-lessons/easy-guitar-songs-to-learn/
The rhythm guitar will strum the chord we play the chord's notes. How many depends on the song. Sometime just the root note (name of the chord) will be fine, then at other times we may play all the notes of the chord (R-3-5-b7). Here is how an old guy does it.
If you are not ready for this now - bookmark it - and come back later.
Another reason to use fake chord -- you can count on the rhythm guitar having fake chord sheet music on the songs the band will be playing. As the other guys have no use for bass tabs they will not have them on the songs the band will use - you gotta know how to read fake chord, lead sheet and or standard notation. Google can find most anything you want. Use these words; guitar chords, "name of the song" the comma and the quote marks help in the search.
Good luck and welcome to the bottom end.