There is no guarantee that a Lawnmower Blenny will eat hair algae, and many refuse to. It definitely looks like hair algae, possibly of the bryopsis variety. No, do not place that in your tank like that. Put it in a bucket with salted water (I use waste water after a water change) and scrub the rock with a clean toothbrush. Honestly, a rock that is that infested isn't worth it, because it could very easily be saturated with spores that could be released all over your tank even after you scrub it clean. The best thing to do with rocks that are that infested is to scrub them, boil them and bake them to kill everything on them. Some people even go as far as repeating the process a second time before using the rock.