Look at the following merriam-webster online dictionary entry for the word browse.

browse verb \brauz!
transitive verb
3: to access (a network) by means of a browser
intransitive verb
1 a: to feed on or as if on browse
b: graze
2 a: to skim through a book reading passages that catch
the eye
b: to look over or through an aggregate of things casually
especially in search of something of interest
which definition is most likely intended in the following sentence?
i'll let you browse through the sandals, and you just let me know when you
want to try something on.

a. transitive definition 3
b. intransitive definition 2b
c. intransitive definition 2a
d. intransitive definition 1a

The definition that best suits the given sentence is Intransitive definition 2b.

Explanation:

The word browse means, in this context, to look over or through an aggregate of things casually especially in search of something of interest. In the given sentence, the person is going to look through a variety of sandals to look for something he/she might like.

Here, the sandals become the aggregate things, where the person is trying to find something of interest. Hence, Intransitive definition 2b is suitable for the given sentence.

the symbol of the grandfather's heritage in this excerpt from "the medicine bag,” is the beaded bolo tie.

a bolo tie is a cord fastened around the neck with an ornamental clasp which is worn as a necktie. they have been used by native american tribes such as hopi, navajo, zuni, and puebloans since the mid-20th century.

therefore, the fact that the grandfather is wearing a bolo tie refers to his heritage as native american.