The bus will pass through Dartmouth bus terminal and takes approximately 30 minutes to get to downtown Halifax (Scotia Square). From there you can then take a cab or another city bus to your final destination.
If you plan to get a connecting bus, make sure you ask for a transfer ticket (image above). Transfers are valid up to 90 minutes after you recieve it.
Once the Metro X arrives at in downtown Halifax (Scotia Square) you can get bus numbers 1, 10 or 41, which all stop very close to the main Dal campus - tell the driver you are going to Dal and they will let you know when to get off.
A popular alternative taxi service is Driver Dave's. Founded by a Dal alumni Dave Wolpin, Driver Dave's offers great group taxi rates to and from the airport. To book or for more information check out his website.