If you have an access-list configured on the inside interface you will need to allow the traffic.
If you do not have an access-list on the inside interface traffic should be allowed according to the security-level.
Also you would need to configure a NAT in order to access public IPs.
see access-lists applied to interfaces:
show runn access-group
allow ssh traffic:
access-list <acl_name> line 1 extended permit tcp host 10.10.1.9 host 64.20.8.42 eq ssh
NAT:
object network NET_10.10.x.x
subnet 10.10.0.0 255.255.0.0
!
nat (inside,outside) source dynamic NET_10.10.x.x interface
A great way to check everything works is packet-tracer:
packet-tracer input inside tcp 10.10.1.9 1025 64.20.8.42 ssh
HTH
Bogdan