The tips I was given and use are as follows.

Remember the extra weight. The bike will be heavy and not accelerate, corner, and more importantly, brake as well. Allow more time, and allow greater stopping distancees. The bike will also be top heavy, this will affect the conering and will make the bike heavy when you stop. Remember to stop on an even surface, as your legs will have to support the extra weight.

Check your tyre pressures and chain adjustment, These will be under greater strain

Ride smoothly, the last thing you want is the pillion shuffling back into position or banging hats.

Get the pillon to follow you. When you lean, the pilion needs to lean, or the bike will stand up in corners. Get the pilion to hold round your waist for the firstfew runs.

And finally, enjoy. My girlfriend rides pillion, and we both enjoy it on a sumers day. Is a great way to see things together.