Speech sessions don't really require much concentration in my experience and are actually a lot of fun (for the toddler and the parent, one of my favourite times of the week!) Currently my daughter only goes for 20-40min each week depending on how she is that day, if she is getting frustrated or bored with an activity then they move onto another and if she doesn't seem to want to continue to engage at all then the session is ended. Activities are just like games that you would play at home - blowing bubbles, playing with different colour balls, having tea parties - the only difference is the speechie will help concentrate on words/sounds and make it fun for them to attempt things which helps me to learn how to do so when we play at home! My daughter also learns signing at the speechie which has helped so much with her behaviour as she can communicate now whereas before she would get very frustrated as she knows the words but cannot form them. For example, our last session involved DD1 hiding objects "under", "on", "in", "behind" etc and learning the signs for each along the way. She now knows 100s of signs and can use full sentences with them, she has also mastered the first tier of sounds and has gone from ~3 words at 2 to 50+ words although some do still retain incorrect sounds so it has definitely been really great for us. It was so hard watching my daughter's frustration before we began signing.

My daughter began around the age of 2, her father also had verbal dyspraxia and saw a speechie from a young age. Verbal dyspraxia is something that can be completely managed by school age to the point you would never even know (this is the case with her dad) so this is why we wanted to start early. The signs my DD displayed were saying words but then being unable to recreate them at a later stage, using the same sound for many different things (such as cheese and please sounding exactly the same, shoes and juice etc), understanding what things were 100% but being blank at trying to say them/forming her mouth wrong for the sound.

It might be worth waiting till 2 as that is generally the age most children explode with words but definitely don't feel there is any harm in seeing someone. I'm sorry your family aren't more supportive.