When taking guitar lessons are the basics the same for acoustic and bass?

Actually they’re not really the same much at all. Both are stringed instruments and the typical tuning on a 4 string bass is E A D G, which is the same as the 4 lowest strings on the guitar in standard tuning (E A D G B E). That’s pretty much where the similarity ends.

Guitar is typically played using a pick or finger picking where the thumb hits the bass notes and the fingers alternately pick the treble notes. Bass is generally plucked using the index and middle fingers to pluck upward on the strings. Guitar music is generally written in treble clef (if you take lessons you’ll learn to read treble clef), while bass music is written in bass clef. Bass is primarily a rhythm instrument while guitar can provide both rhythm and lead/melody. You’ll spend a lot of time learning chords on the guitar and that is not really that applicable to the bass, where you’d typically pluck individual notes.

As a guitar and bass teacher, I really wouldn’t advise trying to teach/learn them both together. They’re really not that similar.