Yes the domain will be transferred to your account. Check your namecheap.com account in your domain page settings you will see an option called"Push to user" or Push domain to user"
and just ask some members here i've already sold a couple of domains here and on digitalpoint.com forums.    


Takes about 5 mins for transfer a domain to another user htey have  built in system for that check it out.  Most times it takes about 1 min for transfer to complete ..