The phrase "after the second year" means that something will happen or be completed after a period of two years has passed.
Sentences with «after the second year»
Students also showed additional significant improvements after the second year of implementation and did not lose any of their social skills knowledge during the summer months. (cfchildren.org)
I became passionate about work wear while working at my first corporate job the summer after second year university. (stuff-i-love.com)
Expect the watch to last for two to three years, as you likely won't get software updates after the second year. (digitaltrends.com)