ad an extra column and use the function month() to get just the month
then summarize by month by using the countif() function... like this:

In the table on the left (named "Data") add a column (column B) and add the formula...
B2=IF(COUNTA(A2)>0, MONTH(A2), "")
this is shorthand for... select cell B2 then type (or copy and paste from here) the formula:
=IF(COUNTA(A2)>0, MONTH(A2), "")
select cell B2, copy
select cells B2 thru the end of column B, paste
now add second table (on the right in the screenshot above, titled "Date Summary")
in column place the month number as shown
B2=COUNTIF(Data::B, A2)
select cell B2, copy
select cells B2 thru the end of column B, paste