Within a mile of the lodge there is an easy 2 mile hike along the northwest coast of the island that begins as the carriage trail, passes "Lion King Rock" where locals take a dip in the lake and then heads to Hardscrabble Point.
An easy mile walk from the lodge is a very popular beach on Kineo called Pebble Beach. Boaters will pull up for the day and picnic and swim. It has no facilities, but gorgeous views of the cliffs of Kineo. A rope swing and designated swimming area are popular with children.
People shuttle to Kineo to hike the 2 mile round trip (strenuous) but very scenic Indian Trail along the cliffs of Mount Kineo with amazing views and follow the steep trail up to the Observation Tower over 700 feet above the lake where you can see all of Moosehead Lake from above. Less aggressive (moderate) hikes up the Bridal Trail are also available as well as a circumnavigation of Kineo on the North Trail (strenuous).
Several historic structures from the 1800's still exist on Kineo. One can walk around cottage row and still see some restored cottages and the original golf club house within simple walking distance of the lodge, or more adventurous hikers strolling up Blueberry Hill might reveal a historic water tank reclaimed by the forest.
Mt. Katahdin is a very strenuous hike- the tallest mountain in Maine and the terminus of the AppalachianTrail. It resides in Baxter State Park a primitive park with the most challenging and tallest peaks in the state.
For those not wanting to summit a peak, there is also a popular gorge hike about an hour away at Gulf Hagus with waterfalls and features worth hiking along. Others, venture a few hours east and explore Acadia National Park. See below for links.