Can anyone give me directions to the best beach to find turtles? We'll be staying at the Grand Palladium White sands,
thanks,

If you look in the Top Questions section of the Akumal forum, I suspect that detailed info on where to go is listed there.
You posted in the Cozumel forum, repost on the Akumal forum, Akumal beach is a ten minute taxi ride from your hotel.
You simply go to Akumal and through the arches. You will see Lol Ha restaurant straight ahead. Walk right between their beach bar and "formal" section and the beach is right there. That bay has lots and lots of turtles. If you take a taxi just have them drop you at Lol ha.
I do love Cozumel but to see boat loads of sea turtles Akumal is THE place.
After all, in Maya, "Akumal" does mean "place of the turtles".
Like Margarita says above, the beach in front of Lol Ha has a lot of turtles. In fact, right there in front of Lol Ha restaurant is where you will most likely see them.
We entered the water right in front of Lol-Ha and saw 9 turtles and a ray in just 45 minutes. You really don't need to go with a charter--just head in right off the beach. Look for sea grass on the bottom--that's where you'll find most of the turtles.
When you get to Akumel there is a small grocery store on the right, just before the road starts to curve. Get on the beach right there, grab a chair by Lol Ha and just head straight out. We saw a bunch in about 10' of water just inside of the boat channel eating on the sea grass.
Yup. Go yourself as said above. They eat the grass. You can see the coloration change of the "water" where the grass starts. It's a little darker.
Put you head in the water and look down, look around. Look up and see if you are near stationary folks with their heads in the water-they're looking at turtles. Go there.
This is probably more detail than you need, but for what it's worth, here are some snorkeling maps for both Akumal Bay and Half Moon Bay. People also snorkel in Yal-Ku Lagoon, but there's an admission fee and it's strictly for beginners, in my opinion.
No need to spend the extra $$ on taxis from the Palladium. Just walk out to the highway in front of the Palladium, (wait on the opposite side) of the highway from the resort, and a Collectivo van will pick you up within 5 mins or less. Tell them you want to go to Akumal, and it will cost $2 per person. They will drop you off on the highway, and you just walk down the sidewalk until you get to the arches, and then bear right to the beach in front of the Lol Ha restaurant. The walk takes maybe 5-10 mins most. We did this several times during our stay...and saw turtle every single time we snorkled there. Taxis will cost at least $15 each way.....so definitely save your $$ and use the Collectivo vans....the ride is 5 mins from the Palladium.