It all depends on what you like to do. But if you want to try something unusual not just going on DinoLand rides, here's a few ideas. Since you said you want to be there at park opening, once you are inside the gates start towards the bridge to Africa and watch the short opening ceremony with the characters by the Tree of Life.
Then go straight to Kilimanjaro Safari to get an early ride. Nice photo ops.
Then maybe take the neat open air train to Conservation Station. This is never crowded and there are some nice exhibits. Check the electronic schedule board for veterinarian procedures for the day. You may get to see (through the large glass windows) - the vet staff perfroming x-rays of animals or birds or even a surgical procedure on one. The CMs stationed by the glass can be quite helpful. And the vet may describe what is going on via microphone.
There are two good inside shows - Finding Nemo The Musical, and The Festival of The Lion King. So check your map quide times if you want to fit both in which if you are there all day you can do.
Other favorites are the bird show Flights of Fantasy, the Tiger walk and the Gorilla trail. CMs stationed along the way share info about all the animals - don't be shy to ask questions.
Zig zagging is OK! Remember this is the park that will close the earliest.
Enjoy