The word lograr is most often used to mean to succeed, achieve or accomplish.

Sometimes I will hear it to mean to obtain or to get. If someone is reaching out to get something and does, the verb lograr could be used. The idea is not just grabbing on to something, agarrar, but that it is something that has to be worked for to grab hold of, lograr. It could be something physical, or it could be an ideal or concept.