Who is "her"? Is it Emma herself or is it another person. The way the sentences are written, "her" refers to another person. If that is what you mean to say, then both sentences are correct.
If, however, you mean for "her" to represent Emma, then you need to write:
1. Emma looked around herself at dozens of other boats.
2. Emma looked around herself and saw dozens of other boats.
Alternatively, you can omit "herself" and "herself" will be understood:
1. Emma looked around at dozens of other boats.
2. Emma looked around and saw dozens of other boats.