If you're querying an authoritative server for the domain, you can get all the records for a name with an ANY query:
dig hostname ANY @servername
However, this won't work reliably if you're querying a caching server. When a caching server responds to an ANY query, it returns whatever records happen to be in cache at the time. If the name has both A and AAAA records, but the server has only looked up the A records recently, the AAAA records won't be in the cache, so it won't return them.
Furthermore, there is a proposal to allow DNS servers to refuse to answer ANY queries: Providing Minimal-Sized Responses to DNS Queries that have QTYPE=ANY. If you query a server that implements this, you may not be able to get both responses with a single query (although one of the suggestions in that draft is that an ANY query might just return all MX, A, and AAAA, since this is often what clients want). So for best reliability, you should just make two queries.