Taking from Pentium's answer, with some adjustments...
SELECT
*
FROM
Events
WHERE
YEARWEEK(`eventdate`) = YEARWEEK(NOW()) OR
(
WEEKDAY(`eventdate`) = 6 AND
YEARWEEK(`eventdate`) = YEARWEEK(NOW()) + 1
)
This may need to be adjusted depending on the values for WEEKDAY (is 6 Sunday?).
Also, while this should work, my guess is that mySQL won't be able to use any indexes on the eventdate column with this method. It's probably better to find the actual dates themselves for the bordering Sundays and then do a BETWEEN or <= >=. This should allow the use of an index on the eventdate. Even if you don't have an index on it now, you might want to use one in the future.