Answer
The electrophile and the nucleophile, and the curved arrow mechanism are shown in the picture.
This reaction is not a Brønsted–Lowry acid–base reaction
Work Step by Step
1) $CH_3COH$ is an electrophile because it accepts the lone pair of electrons and $CH_3O^-$ is a nucleophile because it donates the pair of electron.
2) The curved arrow originated from the $CH_3O^-$ lone pair of oxygen and goes towards the C in $CH_3COH$. Then the electrons involved in the bond between C and O, go to O.
3) In this reaction there is no proton transfer.
Therefore, it is not a Brønsted–Lowry acid–base reaction.