UCLA gets a LOT of transfers into Civil Engineering. Your current CE internship is also a plus as far as assisting in research for one of the professors.
The average GPA of students admitted to UCLA School of Engineering are: Chemical (3.76); Computer Science & Engineering (3.79);Electrical (3.71); Computer Science (3.74); Mechanical (3.68);
Civil (3.73); Aerospace (3.77); Materials (3.74).
Here is a sample 4 year program for CE.
Civil Engineering Curriculum
Since you have already interned, you probably have a good idea as to which electives you are interested in adding in. The quarter system allows you to fit a third more electives into your schedule than the semester system.
Also, if you keep your gpa above 3.5, I believe, you can take graduate level classes as an undergrad, and thus get your master's degree that much faster.
Good luck to you!