I don't think OpenOffice have a program that is similar to MS Outlook. I have OpenOffice installed on my computer so I could try it out and I see no such program like it.
Try
Mozilla Corporation - Home of the Firefox web browser and Thunderbird email client . They have a program that does similar things like Outlook. I don't know how good it is or if it is anything like Outlook. It's called Thunderbird.
I am sure there's a way to sync up to Thunderbird.