Would you recommend attending graduate school right after undergrad?

Yes, I would say it is a good Idea to attend graduate school after undergrad because you are disciplined to learning and development. Also, this keeps you from getting focused on working and loosing sight of graduate school.

My husband and I both have graduate degrees and we both went about getting them at different stages in our lives.  I chose to enter graduate school straight from undergrad while he chose to get his graduate degrees a few years after his undergraduate education. 

For me, I was aware of what my goals were and worried that later I may not have the time or the drive to meet my education goals if I stopped studying.  I was self-aware enough to realize that I would have difficulty getting a graduate degree if I stopped going to college.  I felt once I had other commitments or fun distractions, I would find excuses for never getting back to that master's degree.   I felt it best to get all of my education behind me so I could then move forward with other life adventures.

My husband, on the other hand, is highly disciplined so the breaks he took inbetween his degrees did not hinder his commitment to his education.  He was working when he went back a few years after undergrad to get his MBA, and he then took another break before he decided to go back and get another master's degree.  During this process, I watched him and he only seemed to struggle a little when getting back into the routine of work + classes when working on master's degree #2.  At that point in his life, he was steadily climbing the corporate ladder and the demands of his job, and his choice of challenging degree/university, made the transition back to studying a little more difficult.  Even with this he maintained a 4.0 average while handling his responsibilities on the job.

Having shared all of this - my recommendation would be to evaluate who you are and what you want when deciding when to attend graduate school.  You may always have the option to attend graduate school at some point in your life (and some employers even provide financial educational assistance) but you need to decide on when the time is right for you based on your own life goals.  There is no real wrong or right time to continue your education - it is like any goal you have in life, if you desire it enough you will find the time and make the effort to get your next degree.

I wish you all the best and I love to hear that you are interested in continuing in higher ed!