Adam was the first man and Eve was the first woman. Genesis 1 gives the summary of creation, while Genesis 2 gives some extra detail, including the information that God had created a male first (Adam) and only created a woman (Eve) after the man had realised that none of the animals was a fit helper for him.
The minor complication here is that ‘adam’ in Hebrew can be a name or can simply mean ‘the man’. See What does “man” mean in Genesis? for more information. However, the narrative in Genesis 2-4 makes it clear that there was only one man and one woman at this time. Later in the Bible, this is confirmed by the descriptions of the man Adam (Luke 3:38; Romans 5:14; 1 Corinthians 15:22, 45; 1 Timothy 2:13-14) and how Eve was deceived (2 Corinthians 11:3; 1 Timothy 2:13-14).
For an alternative view, see Did God create other people besides Adam and Eve?.