UndirectedGraphQ
UndirectedGraphQ[g] yields True if the graph g is an undirected graph and False otherwise.
Examples
Check if a graph is undirected:
g = Graph[{1 <-> 2, 2 <-> 3}];
UndirectedGraphQ[g]
(* True *)Directed graph:
g = Graph[{1 -> 2, 2 -> 3}];
UndirectedGraphQ[g]
(* False *)Convert and check:
UndirectedGraphQ[UndirectedGraph[{1 -> 2, 2 -> 3}]]
(* True *)Please visit the official Wolfram Language Reference for more details.