I think the others are missing the question... They think your table may already be POPULATED with all weekends and some status as to open or not... My guess is that your table only HAS a record IF it is reserved... thus you need to find records that DO NOT EXIST AT ALL... based on some automated Look for dates...
This is a modification to another post I've done here
Although I didn't change the context of the query, I only put in the columns associated to YOUR table. I understand you are only going against a single venue table and so am I (actually). However, to understand the "JustDates" alias, this INNER PRE-QUERY is creating a dynamically populated table of ALL DATES by doing a Cartesian join against ANY other table.. in this case, your "Venue" table of reservations (I didn't see your actual table name reference explicitly, so you'll have to change that). So, this in essence creates a table of all dates starting from whatever "today" is and goes forward for 30 days (via limit), but could be 40, 50, 300 or as many as you need.. provided the "YourVenueTable" has at least as many records as days you want to test for. (same clarification in post this was derived from). This result set going out 30, 40 or however many days is pre-filtered for ONLY the given day of week of 1-Sunday or 7-Saturday... So it should return a result set of only Apr 23, Apr 24, Apr 30, May 1, May 7, May 8, May 14, May 15, May 21, May 28, etc.
So NOW you have a dynamically created result set of all possible days you are considering moving forward. Now, that gets joined to your actual Venue Reservations table and is filtered to ONLY return those DATES where it is NOT found for the id_venue you are concerned about. In your data example it WOULD find a match on Apr 23 and 24 and NOT return those records. Same with Apr 30... However, it WILL find that the record in the prequalifying list that includes May 1 will NOT find the date match in the venue table and thus include that as you are anticipating... It will then continue to skip May 7 and 8, then return May 14, 15, 21, 28, etc...
select JustDates.OpenDate
from
( select
@r:= date_add( @r, interval 1 day ) OpenDate
from
( select @r := current_date() ) vars,
Venue
LIMIT 30 ) JustDates
where
DAYOFWEEK( JustDates.OpenDate ) IN ( 1, 7 )
AND JustDates.OpenDate NOT IN
( select Venue.date
from Venue
where Venue.id_venue = IDYouAreInterestedIn
and Venue.Date = JustDates.OpenDate )
order by
JustDates.OpenDate
Note, and per the other reservations posting, the query for reservation date availability dates doing a limit of 30 above can be ANY table in the system as long as it has AT LEAST as many days out as you want to look forward for reservations... If you want all availability for an upcoming year, you would want 365 records in the table used for a Cartesian result to get the @r cycling through dynamically created "date" records.