A calendar day or a sweet brown fruit.

From Old French 'date', from Latin 'dactylus', from Greek 'daktylos' meaning finger, referring to the shape of the fruit. The calendar sense came through the same word, as dates were written on documents. Both senses share the same spelling by coincidence of history.

Third-person singular of find: to discover or locate something.

From Old English 'findan', shared across Germanic languages including German 'finden'. It is a very old word whose deeper roots are uncertain. The noun sense, as in 'a great find', grew naturally from the verb.