Depends on what you want to do with you're data. the $_POST['events'] itself is an array, which is why it shows up as 'array'. You can comma separate it with:
PHP Code:
$events = implode(', ', $_POST['events']);
You can look at normalizing the database as well. It appears you're combining a many-to-one relationship against a single table.
Such a design is more suited for something along this lines:
Code:
+---------------+ +------------------+
| User | | UserEvents |
+---------------+ +------------------+
| userID [PK] |+----------<| userID [PK][FK] |
| userName [UK] | | event [PK] |
| ... | | ... |
+---------------+ +------------------+
This lets you store multiple events entry for each user associated without needing to concern yourself with anomolies.
Edit:
BTW, are you aware that all of you're checkboxes will have the same value?