The idiomatic expression "to get after something" means to pursue or seek out a particular goal, task, or objective with determination and vigor. Full definition
Again, research the salaries associated with the type of job you want to get after you finish your degree. (studentloanhero.com)
Both Teams really got after it and neither group was going to give an inch.. (allsportsseries.com)
In the cabin, the focus (as it should be in a coupe) was on putting the driver in a position to better get after it when going gets fast and fun. (automobilemag.com)