The quick answer, there is not much additional maintenance on a hybrid vehicle than a regular combustion vehicle. A regular engine requires regular oil changes, regular tire rotations, fluid check ups etc. This isn’t anything new to you, and the good news is that your hybrid does not require much more. In fact with a hybrid you can expect less maintenance. This is because of the shared load of the battery and engine. The battery and engine work together to power your car, as a result your engine does not have to work as hard as a regular engine. This means that there are larger intervals between oil changes, and fewer oil changes are necessary driving a hybrid than a normal car over the life of the vehicle. Another part that will need less maintenance is your brake system. Most hybrids come now with regenerative braking. This takes the load off your brakes, meaning they will wear down slower and will not need to be replaced as often. This is the best part, getting the best of both worlds ends up saving your wallet some as well. The bad news is that when something goes on the electric side it can be quite pricey. Batteries should last well past 100,000 miles, but when they go they generally cost around $1,000, even up to $8,000 on the higher end to replace them. Many servicers now offer battery servicing once your battery gets up to 60,000 miles, allowing your battery to have an even longer life. Other than your battery, nothing on the electrical side needs replacing under 150,000 miles.
One thing your vehicle may need more of is coolant. The dual combination of an engine and a battery makes your hood area quite hot, and coolant needs to be checked often to maintain the proper levels and to check the quality. With that small adjustment, all in all with a hybrid you can expect less maintenance than you need on a normal vehicle.