You need to tell the query what value to pick for the other columns, MIN
or MAX
seem like suitable choices.
SELECT
U.NAME, MIN(P.PIC_ID)
FROM
USERS U,
PICTURES P,
POSTINGS P1
WHERE
U.EMAIL_ID = P1.EMAIL_ID AND
P1.PIC_ID = P.PIC_ID AND
P.CAPTION LIKE '%car%'
GROUP BY
U.NAME;