I think it looks great! Don't worry about the lower branches, the new growth looks extremely happy.
There are three trees known as redwoods:
Coast Redwood (Sequoia sempervirens) grows in the fog belts along the west coast of the Americas.
Giant Sequoia (Sequoiadendron giganteum) grows in the Sierra Nevada and, at one time, was the dominate evergreen species.
Dawn Redwood (Metasequoia glyptostroboides) looks a lot like Coast Redwoods except they are deciduous. Native to China.
Your redwood is a Giant Sequoia.
Daisy